Wouldn't it be possible to just write a front end for the iPad, and run a LaTeX service in the cloud? I think this would be by far the easiest way to do it, and I don't think it's really optimal to do all the LaTeX stuff client-side on limited hardware and battery anyway.
Many people seem to think that tablets functioning as "laptop replacements" means duplicating all laptop functionality on tablet hardware. I take "replacement" to it's full meaning, in that a tablet allows you to develop on a server while making no compromise on portability.
If you wants to carry around the full LaTeX installation, you need a laptop. If you want a laptop replacement, you can't expect to not replace your way of working.