Even if you had enough bandwith you could never resolve 1080p with that projector. Only the best 9" CRT's are capable of resolving 1080p.
Remember that 1080i is resolved just as easily as 540p, at least as far as vertical resolution is concerned.
It all has to do with beam-spot size and scan line overlap. If you could somehow display 1080p, the scanlines are going to overlap so much that most would consider it unwatchable.
If you want to watch 1080p, you will need something along the lines of a Sony G90 or a Marquee 9500. A Sony 1292 might be able to pull it off as well, but I am not as sure.
Cheers
Andrew B.