Actually, most of JFBConnect should work in a mobile environment without issue. Some of that is by JFBConnect design, other is because Facebook simply supports mobile with most of its features out of the box. The Login dialog should work on mobile just fine and ask the same permissions as a desktop application would ask.
If there's something specific you think may be an issue, definitely let us know. As always, we're here to help if you run into problems!
Alex
JFBConnect on mobile site
