So - do you mean the current mortgage-and-taxes payment would be half your take-home pay? If so, you certainly wouldn't be in any position to buy your H out of his half. IF you will be getting child support and/or alimony, so that the house payment drops to about a third of your total income, then you would be ok - but still unable to buy your H out (assuming there is equity in the home? If there's no equity, then there's no real buyout - you would just need to be able to qualify for a new loan in your own name). So splitting the house payment and selling once the kids are grown may be an ok option for you. The down side is, if the house goes up in value, you probably won't be able to afford to buy your H out at that time, so you'll probably have to sell and downsize.
Does your H have a pension or 401k? Do you? These are the kinds of questions you need to consider. What are the marital assets and debts, how will you divide them?
Certainly it's not a great idea to keep the house if payments will be half of ALL your take-home income (work and child support or alimony). The general rule of thumb is to keep your payments no more than a third of your take-home income.
