Well, we can't look at ICANN, because you haven't provided a link to your site.
I'm a little confused. Did you register the same domain name with DreamHost, or a different one? If you registered a different one, and signed up for hosting (it sounds like you did), you should be good.
Or are you trying to register the domain with DreamHost, but keep the hosting at Enom? Or vice versa?
All my domains are important to me, and they are all registered and hosted at DreamHost, and...it's wonderful.
When I read that, I heard a little kid in my head yelling "I'm gonna tell my dad!" Seriously, I wonder if complaint posts like this are just fake posts planted by competitors. Providing an actual link would allay that.
If you do get this resolved, please tell us what the underlying problem was and how it was resolved. Could help someone else out down the road.