For most men, sex is a huge must in a relationship. It's not about "getting laid" but rather the closeness and bonding it creates between couples. A relationship without intimacy is stale and lackluster to them. That's not to say there are men out there who aren't suited to your tastes in intimacy, or lack thereof, but rather, they are very scarce.

Also, you do realize that having kids requires at least some level of sexual contact? Right? Sure you could go the "IF" route, but where's the romance in that?