I would and I have.
A guy I dated for a few months had two kids despite being very young. He was in the military, and his "baby momma" had custody of the kids, until she got caught being a drug abuser. At first it was weird having to accomodate the kids into things that we wanted to do. I'd be over at his place just waiting for them to go to sleep (they were 4 and 2!

). I was lucky because his baby momma didn't turn psycho on me for helping to take care of her kids.
In the end he and I obviously didn't work out, but the children were not to blame. We just decided that we weren't right for each other. Everyone's entitled to their own thing, but it takes a really mature person (not just in age, but in sanity too) to accept a ready made family like that. I'm glad I even gave him the chance because he's a really great guy, a loving father, and we're still friends to this day. But still, the hardest part was trying to explain to the kids how come Auntie Sandy won't be coming by as much anymore. It's easy to cut ties with a S.O., but it's not so easy trying to cut ties with his kids.

Oh well.