You are right to some degree (it varies by by state/local/judge), but according to NATIONAL statistics, women are 11x more likely to get child custody than the man is and 32x more likely to get alimony. No fault divorce simply screws men over, period. There are exceptions, of course, in a nation this large there always will be.
There is simply no way to make divorce "fair". It is an abomination start to finish. Final statistics do not reveal the circumstances that created them unless they are the result of a rigorous study process of causation. If divorcing women are 11 percent more likely to get custody, it could be that divorcing men are 89% less likely to have taken an interest in raising their chlldren, or that they have overwhelmingly brought a third party into the relationship who doesn't want the children, for all we know. If women are 32x more lilkely to get alimony, perhaps they are also 32x more likely to have reduced their work lives to take care of their children while their husbands worked, and now have no marketable skills. Numbers out of context do not and cannot tell the whole story.
I hear what you are saying; it may feel skewed, especially if a man is unfairly judged and gets the shaft; but trying to use endgame stats to explain causation doesn't work.
One of the earlier posters cited some articles about why women say they divorce vs. why men say they divorce. Among the women's top reasons was that they felt their husbands did not listen to them or hear what she is trying to tell them. Among the men's top reasons was that the divorce was a complete blindside and he had no idea anything was wrong until she hauled him into counseling. That, right on its face, demonstrates that the two parties are often playing with an entirely different deck and have not done the work to make their marriage a true partnership instead of a contract of anticipated entitlements.