When you build a gallery with svBuilder-Pro, the gallery will feature Universal Playback without any further action.
You could then embed the gallery into a WordPress page or post using the baseURL method of embedding.
Alternatively, you could use the WP-SimpleViewer plugin to create your mobile-friendly galleries within the WordPress Dashboard.
With regard to themes, there are currently 1,747 themes listed on the WordPress Free WordPress Themes page, unfortunately too many to test with SimpleViewer. (SimpleViewer should work well under most themes but please note that not all themes generate valid code and some may cause problems.)
I would recommend trying the default Twenty Twelve theme which was designed with mobile devices in mind.
SimpleViewer Support Team