My husband spent $10,000 on our credit card at a local strip club. If I go through with a divorce from him, am I liable for that debt?

Assuming you don’t approve of him going to the club and you didn’t go with him, you can make the argument that the debt is his separate debt since it was incurred for a non-marital purpose. The Court could allocate that debt to him and him alone. Keep in mind though that if it is a joint credit card, the Court’s ruling cannot break the contract you have with the credit card provider. They would still be able to sue you for payment of the debt if it is a joint credit card.