I voted yes, but you're right, it would depend on the situation and how much I liked this person. I am more okay with divorced than with kids. I'm divorced myself so I think it would be hypocritical of me to say I wouldn't date a man that was as well. I like kids and want them someday but I am not sure how I feel about having them in my life right now.
But if I really like the guy and liked his children as well, then I'd at least give it a shot.