It depends on where you go/how much you want to beat it up. Reiter is like a big sand box when it comes to wheeling, you don't have to run BYS to enjoy yourself.
You can take a stock Zuki up the first half of the Isabel trail, and probably get one up to just under the Index Wall (The end of the trail is closed to motorized access ever since some idiots started throwing beer cans down the cliff at climbers). There are also several trails that I have taken my tracker on when it was stock and had road tires on it, not even ATs. It didn't go quite as smooth as my SJ, but that is to be expected.
I will admit that there are trails you have no business being on, but you can do just about anything a quad can do, and they run all over up there. Heck, I've even seen Subaru's running around.
But if you want to meet up, pick up some trash and get a free lunch then hit some small little side trails, feel free to show up on the 6th.
As for not belonging, a lot of people claim Claw Hammer isn't a place for a Zuki on 31's. Yet, it worked well enough for a guy in my club.