I'm going to speak from personal experience since that's all I've got and anecdotal evidence seems to be all the rage anyway. Basically, I married the only guy I know who doesn't cook. Seriously, all my friends' husbands, gourmet cooks. To make up for that, Mr. Geeky cleans the kitchen. He also does laundry and grocery shopping. He often asks if I need him to pick up anything at the store. Now he hates grocery shopping because the placement of products is a mystery he's never figured out, but he manages. Most of the husbands I know, including Mr. Geeky, are very involved in their kids' lives. They go to parent-teacher conferences. They go to soccer games. They take their kids to lunch at the pizza joint. You see them at parks and playgrounds together or just hanging out in the back yard.
That doesn't mean I don't know a few husbands who seem to be completely uninvolved, but really, it's rare. I feel Rebel Dad's frustration. Stereotypes are bad for everyone.