Index: src/bp-core/bp-core-adminbar.php
===================================================================
--- src/bp-core/bp-core-adminbar.php
+++ src/bp-core/bp-core-adminbar.php
@@ -39,6 +39,12 @@
 				'class' => 'ab-sub-secondary'
 			)
 		) );
+
+		// Remove 'Edit' post link as it's not applicable to BP
+		// Remove when https://core.trac.wordpress.org/ticket/29538 is addressed
+		if ( is_buddypress() ) {
+			$wp_admin_bar->remove_node( 'edit' );
+		}
 	}
 }
 add_action( 'admin_bar_menu', 'bp_admin_bar_my_account_root', 100 );
Index: src/bp-core/bp-core-theme-compatibility.php
===================================================================
--- src/bp-core/bp-core-theme-compatibility.php
+++ src/bp-core/bp-core-theme-compatibility.php
@@ -556,6 +556,9 @@
 
 	// If we are resetting a post, we are in theme compat
 	bp_set_theme_compat_active( true );
+
+	// If we are in theme compat, we don't need the 'Edit' post link
+	add_filter( 'get_edit_post_link', '__return_false' );
 }
 
 /**