BuddyPress.org

Spent the last 30 minutes doing some digging and found an old thread with a detailed explanation from Boone:
https://buddypress.org/support/topic/please-help-me-understand-a-wordpressbp-feature/#post-97470

As far as I can tell, two functions perform the ‘syncing’ of data

xprofile_sync_wp_profile()

Syncs Xprofile data (nickname, first name and last name) to the standard built in WordPress profile data

xprofile_sync_bp_profile()

Syncs the standard built in WordPress profile data to XProfile

That’s about it. Nothing exciting really, just two nice little housekeeping functions

@hnla – not quite sure I follow…?

@Shanebp and @mercime [RESOLVED]

The following file was responsible. Comments marked !!!IMPORTANT!!! are where I made changes.

wp-content/plugins/gantry-buddypress/bpt-functions.php

<?php
/**
 * @version   1.3 November 8, 2012
 * @author    RocketTheme, LLC http://www.rockettheme.com
 * @copyright Copyright © 2007 - 2012 RocketTheme, LLC
 * @license   http://www.gnu.org/licenses/gpl-2.0.html GNU/GPLv2 only
 */

// Sets up WordPress theme for BuddyPress support.
function gantry_bp_tpack_theme_setup() {
	global $bp, $gantry_bp_path;

	// Load the default BuddyPress AJAX functions if it isn't explicitly disabled
	require_once( $gantry_bp_path . '/_inc/ajax.php' );

	if ( !is_admin() ) {
		///!!!IMPORTANT!!!/// COMMENTED OUT BY UNCLEJIMMY [[FIXED MEMBER HEADER DUPLICATE BUTTONS Friends/Public Message/Private Message]] ///!!!IMPORTANT!!!///
		///!!!IMPORTANT!!!/// [[ALSO REDUCED QUADRUPAL MESSAGES/COMMENTS/REPLIES TO DUPLICATES]] ///!!!IMPORTANT!!!///
		// Register buttons for the relevant component templates
		// Friends button
		//if ( bp_is_active( 'friends' ) )
			//add_action( 'bp_member_header_actions',    'bp_add_friend_button' );

		// Activity button
		//if ( bp_is_active( 'activity' ) )
			//add_action( 'bp_member_header_actions',    'bp_send_public_message_button' );

		// Messages button
		//if ( bp_is_active( 'messages' ) )
			//add_action( 'bp_member_header_actions',    'bp_send_private_message_button' );

		// Group buttons
		if ( bp_is_active( 'groups' ) ) {
			///!!!IMPORTANT!!!/// COMMENTED OUT BY UNCLEJIMMY [[FIXED DUPLICATE GROUP BUTTON Join/Leave ]] ///!!!IMPORTANT!!!///
			//add_action( 'bp_group_header_actions',     'bp_group_join_button' );
			add_action( 'bp_group_header_actions',     'bp_group_new_topic_button' );
			add_action( 'bp_directory_groups_actions', 'bp_group_join_button' );
		}

		// Blog button
		if ( bp_is_active( 'blogs' ) )
			add_action( 'bp_directory_blogs_actions',  'bp_blogs_visit_blog_button' );
	}
}

add_action( 'after_setup_theme', 'gantry_bp_tpack_theme_setup', 11 );

// Enqueues BuddyPress JS and related AJAX functions
function gantry_bp_enqueue_scripts() {

	// Enqueue the global JS - Ajax will not work without it
	wp_enqueue_script( 'dtheme-ajax-js', get_template_directory_uri() . '/_inc/global.js', array( 'jquery' ), bp_get_version() );

	// Add words that we need to use in JS to the end of the page so they can be translated and still used.
	$params = array(
		'my_favs'           => __( 'My Favorites', 'buddypress' ),
		'accepted'          => __( 'Accepted', 'buddypress' ),
		'rejected'          => __( 'Rejected', 'buddypress' ),
		'show_all_comments' => __( 'Show all comments for this thread', 'buddypress' ),
		'show_x_comments'   => __( 'Show all %d comments', 'buddypress' ),
		'show_all'          => __( 'Show all', 'buddypress' ),
		'comments'          => __( 'comments', 'buddypress' ),
		'close'             => __( 'Close', 'buddypress' ),
		'view'              => __( 'View', 'buddypress' ),
		'mark_as_fav'	    => __( 'Favorite', 'buddypress' ),
		'remove_fav'	    => __( 'Remove Favorite', 'buddypress' ),
		'unsaved_changes'   => __( 'Your profile has unsaved changes. If you leave the page, the changes will be lost.', 'buddypress' ),
	);
	wp_localize_script( 'dtheme-ajax-js', 'BP_DTheme', $params );

	// Maybe enqueue comment reply JS
	if ( is_singular() && bp_is_blog_page() && get_option( 'thread_comments' ) )
		wp_enqueue_script( 'comment-reply' );
}

add_action('wp_enqueue_scripts', 'gantry_bp_enqueue_scripts');

// Enqueues BuddyPress basic styles
function gantry_bp_enqueue_styles() {
    global $gantry_bp_url;

	// Do not enqueue CSS if it's disabled
	if (get_option( 'gantry_bp_disable_css' ))
		return;

	// BP 1.5+
	if ( version_compare( BP_VERSION, '1.3', '>' ) ) {
		$stylesheet = 'bp.css';

		// Bump this when changes are made to bust cache
		$version    = '20110918';
	}

	// Add the wireframe BP page styles
	wp_enqueue_style( 'bp', $gantry_bp_url . '/' . $stylesheet, array(), $version );

	// Enqueue RTL styles for BP 1.5+
	if ( version_compare( BP_VERSION, '1.3', '>' ) && is_rtl() )
		wp_enqueue_style( 'bp-rtl',  $gantry_bp_url . '/' . 'bp-rtl.css', array( 'bp' ), $version );
}

add_action('wp_enqueue_scripts', 'gantry_bp_enqueue_styles');

// Gantry BuddyPress plugin doesn't use bp-default's built-in sidebar login block,
// so during no access requests, we need to redirect them to wp-login for
// authentication.
if (!function_exists('gantry_bp_use_wplogin')) {
    function gantry_bp_use_wplogin() {
	    // returning 2 will automatically use wp-login
	    return 2;
    }

    add_filter('bp_no_access_mode', 'gantry_bp_use_wplogin' );
}

// Hooks into the 'bp_get_activity_action_pre_meta' action to add secondary activity avatar support
function gantry_bp_activity_secondary_avatars( $action, $activity ) {
	// sanity check - some older versions of BP do not utilize secondary activity avatars
	if ( function_exists( 'bp_get_activity_secondary_avatar' ) ) :
		switch ( $activity->component ) {
			case 'groups' :
			case 'friends' :
				// Only insert avatar if one exists
				if ( $secondary_avatar = bp_get_activity_secondary_avatar() ) {
					$reverse_content = strrev( $action );
					$position        = strpos( $reverse_content, 'a<' );
					$action          = substr_replace( $action, $secondary_avatar, -$position - 2, 0 );
				}
				break;
		}
	endif;

	return $action;
}

///!!!IMPORTANT!!!/// COMMENTED OUT BY UNCLEJIMMY [[FIXED DUPLICATE AVTIVITY STREAM AVATARS]] ///!!!IMPORTANT!!!///
///!!!IMPORTANT!!!/// [[ALSO FIXED DUPLICATE MESSAGES/COMMENTS/REPLIES]] ///!!!IMPORTANT!!!///
//add_filter('bp_get_activity_action_pre_meta', 'gantry_bp_activity_secondary_avatars', 10, 2);

Thank you for your time and attention, please let me know if I could’ve done this better.

God Bless

Thanks @shanebp
Works perfectly!
Linking the author page through to the profile page is in my opinion the best way to join WordPress to Buddypress because it allows viewers looking at blogs on the author page to choose to click through to the bp profile or to continue to look at more blog posts by category.
Thanks a lot for the code. Great solution!

If anyone knows about this, please comment!

And to anyone who reads this post later, and is looking answer to the same question, I found a new plugin called rtMedia – which is a great choice for adding photos, videos, or audio on your posts and showing it in the activity stream. It seems to have released 3 days earlier, atleast the latest version with this name.
https://wordpress.org/plugins/buddypress-media/

But, if you know anything better, please tell us about it!