It very much depends on how you and the mother decided to split up the work load. If she is happy taking close to 100% of the work load and letting you do your thing then it shouldn't be impossible to have basically the same amount of time.
I'd argue that if you're spending ~0% of your time with you kids then you're doing it wrong. Something has to come first, and imho if you have kids then the kids need to come first. That means spending as much time as you can with them, both to help raise them, teach them, and also to experience parenthood.
Having a kid myself, and having turned down an awesome job opportunity since it would have kept away from my daughter for too long periods at a time, I totally agree with you. That being said, I know people who have made the opposite choice, and while I don't agree with it, their kids seem to be turning out OK.
