Yes, why not? If the woman was the main earner and the man had given up his career or his chance to establish a career to support her, then I think the same rules should apply as when the situation is the other way round. All the caveats I can think of (length of marriage, his future earning potential, the reason for the divorce etc etc) are already in place for when it is an ex-wife claiming support from a man. Justice is supposed to be blind and I think that applies here.
The man is usually the provider for the family but these days with dads staying home and the woman being the career person, its a bit different. I think he could be supported for a while but I am really not sold on the idea.
I think the division of assets is based an a fair formula, taking into consideration stay at home parenting, length of relationship, etc. But the only on going obligation is to children...and that is based on a few factors. A husband does not (usually) upkeep an ex-spouse (in Australia), so i wouldn't think a wife would. But if the two parties wanted such an arrangement, then that is their business.
Yes if the situation is right for this -I had to pay a huge amount to my last partner of 18 years because he got rid of a lot of money and so the courts deemed I had more than him so had to give him half my super.
If it is honest though, there is no reason why the woman should not pay or vice versa.