[djmtsu]

There were AWD RX-7's in first gen and second gen form used for Pikes Peak Rally. If you do a google search you can find some interesting pics. The whole drivetrain was custom.

The easiest option to do something more modern would be to rotary a Subaru. There is a group of guys called 'Rust in the Wind' that have just completed a Subaru Brat with a rotary engine and trans, it also has a Miata front subframe and suspension.

So yes, it can be done, is it cheap and easy, not really!