Add widget area (with Simple Socian Icons) to primary navigation.

functions.php

<?php //remove this line

// Register the widget area
genesis_register_sidebar( array(
	'id'          => 'nav-social-menu',
	'name'        => __( 'Nav Social Menu', 'your-theme-slug' ),
	'description' => __( 'This is the nav social menu section.', 'your-theme-slug' ),
) );


add_filter( 'wp_nav_menu_items', 'sws_social_icons', 10, 2 );
function sws_social_icons($menu, $args) {
	$args = (array)$args;
	
	if ( 'primary' !== $args['theme_location'] ) {
		return $menu;
	}
	
	// start to buffer the output
	ob_start(); 
	
	// wrap the menu in a list item, otherwise it throws a validation error
	echo '<li class="menu-item">';
	genesis_widget_area('nav-social-menu');
	echo '</li>';
	
	$social = ob_get_clean(); // 
	return $menu . $social;
}

gistfile1.css

.genesis-nav-menu .widget {
    float: right;
}

.genesis-nav-menu .simple-social-icons ul li {
	margin-bottom: 0 !important;
	margin-top: 0.7rem !important;
}

gistfile2.css

.genesis-nav-menu .widget-area {
    float: right;
    padding-top: 2.2rem;
}

gistfile3.css

.genesis-nav-menu .widget-area {
    float: right;
    padding-top: 1.5rem;
}