Piggyback for Meteor Slides (Wordpress plugin). Adds a desktop/mobile selection that gets AJAX'd.
Add the Meteor Slides plugin to your site. Create two slideshows, one with the category "desktop" and the other "mobile". "Enable" AJAX on your Wordpress installation. Add slideshow.php to your theme folder. Add the code in functions.php to your functions.php in your theme folder. Perform necessary CSS to hide/show desktop or mobile sliders at specific viewport widths (media queries).