Comments like this by the OS residents on this forum kinda blow. Okay, yeah, we get it, you think you're better because you sew back faces and do trauma. Maybe you are. From my experience at my residency program, the OS residents are a lot better than the perio residents (on average). In practice, however, this is not always the case. A finely trained periodontist does excellent dentistry and can command a hefty salary. A haughty oral surgeon will always make good money in thirds but being a douche to your referrals will cause you to potentially lose your implant referrals.
As a FTD prosth with decent marks (assuming you took NBDE as pass/fail?), publications, and good reviews from your prostho program faculty, you may be making a very smart decision to do perio here in the states. In theory you could practice perio (with a dab of perio/prosth). Ethically and potentially legally, you'll be restricted to doing a "perio only" practice if you call yourself a periodontist but it depends on your market and such.
I don't see any problems with you getting into a USA perio program. It seems that most of these programs are full of FTDs now anways. Well, prostho programs are going in that direction too so you may want to look at UPenn's Perio/prosthetics residency. You're a trained periodontist but not a trained prosthodontist. May be a good idea.
Good luck!