Hello,
Thank you for the excellent question. Checking out your site, it looks like you may have already accomplished this!
To answer your question for anyone else looking to solve this issue, there are two steps.
First, add your social menu to the “Header Top” menu location from your Customize -> Menus -> Social Media menu.
Second, you’ll notice that the menu is now in the center of the header. To move it to the right, add the following custom CSS to your Customize -> Advanced -> Custom JS & CSS menu:
ul#secondary-menu-items {
text-align: right; }