Typically, no, a spouse is not liable for the debts of the other spouse. There is one exception which is for medical bills and other reasonably necessary expenses for the support of the spouse. However, these must be incurred while married (not before). Credit card debt does not apply.
You would not be liable for these debts.
By answering this question, general information is provided and no attorney-client relationship is established. For specific inquiries, you should consult with experienced counsel in your area.