The problem with any joint debt is that divorce decrees may order one spouse or the other to be responsible for the bill, but that doesn't affect your contract with the creditor. IOW, if under your credit card agreement (or other debt), you agreed to be responsible for the payment, a divorce decree doesn't affect that--they can still go after you for the money and your credit report will be adversely affected.
For joint accounts, I believe the only way to remove one cardholder is to close the account--you'd still be on the hook for prior charges but at least your spouse couldn't add new charges for which you'd be liable.
This is something you HAVE to discuss with a lawyer.