I'm in a MMA club for BJJ, so also no belts. I don't really see the use for them in any case.
They're becoming outmoded in judo too - no one cares anymore, and they don't have belt divisions to separate competitors, but tournament levels (local, regional, national, international C, B, A etc). If you enter a local tournament you're going to be up against recreational guys who aren't particularly good, or are too old or out of shape to compete in higher level tournaments etc (they might be 4th dans or yellow belts, but they're not going to be good competitors). If you enter a nationally rated tournament you're going to be up against guys who are pretty serious no matter what their belts are (ie you might get a nationally ranked wrestler interested in trying judo wearing a white belt). To get to international tournaments for the most part you have to be on a national team ...
I think this makes a lot more sense than the belt divisions judo used to have, and BJJ has. For a start, there's no possibility of sandbagging - if you enter a high level tournament that's the level of competition you're facing. If you enter a low level tournament and win it gives you no credibility, because everyone knows that winning "the local Y tournament" means you've beaten guys who work out once or twice a week for an hour (ie your typical guy with a family and job), and so better competitors don't bother. Of course you get guys who aren't competitive entering tougher competitions just to see how they're doing (nothing wrong with that), but they're usually seeded against top guys at the start and don't get far.
I suspect BJJ and submission levels will give up on belt or experience levels in a few years as well, just because its so impractical to maintain a standard ... you have blue belts from some clubs with more experience than purple's from others. Eventually its just not worth the trouble trying to standardize it.