I have not heard of anyone in the community building their own native editor for Linux and I guess the fpp is too old and has too few users for this to be likely now.
If you google I think you'll find some people have got Vyzex running successfully under wine http://line6.com/support/thread/35546.
As you would expect line6 make no claims that any of this can work and won't know how to assist you with it. I would not bet on being able to do it unless you're a reasonably capable linux user but if you are then it sounds like good fun to try.
This is on my list of cool stuff to try, although I will probably use kubuntu when it comes to it.