Maybe even better Sir William, is to make marraiges a little more difficult to do! It's takes no time at all to get married (California might be the longest, due to the blood tests, NY took a 24 hour period to process the paperwork before you could get married). It's hard to agree to make it harder to get a divorce, if the couple/family is already at that point, making them stay together is just asking for more trouble.
As far as child support, the men are still the ones who make the money more often than not. Sure the wives work a lot more these days, but they typically earn less salaries (not being sexist, just the latest facts). So when a couple splits up, and has children (I think alimony is silly though), by all means both parties should be paying for their children! As far as how to make them pay, that's a tougher call. I have mixed feelings on that one.