Anecdotally, I've known two such men whom you would consider to be the dregs in your misandric barrel. One guy, a formerly illiterate ex-con, ended up with four kids from various relationships. I got to meet him when he won the statewide learner's award in a major volunteer literacy program. Two of his kids were honors students. The other guy, same deal - illiterate until he was about twenty-five - had a couple of kids that he took back when his mother died. They too became honor students under his care. When I think of men as single fathers, those guys always come to mind.
The facts are that roughly 85% of the incarcerated and 80% of pregnant teen girls were raised by single mothers, who make up roughly 80% of single parents. Less than 1% of those groups were raised by single fathers, who make up 15% of single parents. At the very least, these numbers indicate that an involved father is as or more important than an involved support payment.
It's a pathetic myth that the men who've storm enemy lines, dug canals through jungles, and fired themselves off into space in tin cans are incapable of rearing children alone. At the risk of sounding like I'm trying to restart the gender pissing contest - single parenting may be a sub-optimal arrangement, but when men do it, they're generally more successful at it than women.