The only Mazdas I've seen running autocross so far are Miatas (that do very, very well, I might add) and 2 RX 7 that run okay.
The guys I've talked to that are running Miatas say that it's like driving a Go-Cart. They are really very surprising! I'm glad they're not in my class.
I know a guy that has a RX 8 and I've been trying to get him to autocross it. So far to no avail.... I doubt he's ever had it anywhere close to the rpm that puts the rorary motor in it's power band.