This cannot be resolved, you will not be an equal parent or even close to it the first few months, maybe even over a year. Breast feeding and various dependencies that develop (like that the kid wants to fall asleep at the breast) mean that most of the effort of parenting early falls on the mother.

And then there's the fact of life that other stuff needs to be taken care of. Trash still needs to be taken out, groceries bought, etc further pushing you towards the stuff outside of parenting.

This can hardly be resolved with money. We could hire nannies, get the top nursery, whatever. It would even be cost-efficient if it let mom work. However, the kid doesn't want to be without his mom and much more so she doesn't want to be away from him for a longer time! Even with me 4-6 hours is about it.