when I browse to http://www.jockrock.org the regular (unresponsive) web main page is the one that shows up.
That page is still cached by WP Super Cache. Once you've activated the options I mentioned in my last post, you'll want to flush your cache to make sure you delete all cached versions of your site.
the drop-down menu shown is actually a list of all the available pages.
Jetpack's Mobile Theme will display the menu that you've assigned to the Primary Menu location under Appearance > Menus in your dashboard. As long as your theme includes a Primary Menu location, you don't have to switch themes. Could you go to Appearance > Menus, and make sure you've assigned a menu to the Primary location?