The American Zeitgeist around gender issues is distorted to dehumanize men and alienate anyone who even dares to recognize this fact. I'm a pretty hardcore liberal and I I'm totally astonished on a daily basis at the hate in vitriol directed at men that go without comment, let alone castigation that it deserves.
As for the rest of your post, absolutely. I love being a dad and it's a shame that our society doesn't seem to care much about father's apart from being a provider of money. Every man should be aware that if things go south and their marriage that their children could be taken away from them and they will be vilified if they try to get them back. You will not get sympathy from your friends or family or from the public at large. He will be fighting the tide.