According to TC's link, in a divorce your husband's share of the house may be closer to 30-40% of the equity than 50%. It depends on how much you paid into the house before marriage, and the amount the house has gained in value since the marriage. Losing even 30% would be tough, but not as tough as the 100% you probably would lose if you sold it and gave the money to your husband.
My advice? Don't sell the house. If he carries through on his threat of a divorce, you have something left. If you give in and sell it you may end up on the street and divorced anyway. Neither choice is good, but one is better than the other.