Yup. Community property also means community debt.
Although you could have the decree stipulate that each of you is responsible for 50% of the debt, the collection agencies can still come after you as they're not party to the divorce. They'll try whomever they think is the best bet (or both of you).
If you actually have $15k, and the divorce won't be done until next year, you may be better off just throwing that at the debt and arranging a repayment plan with the hospital/collection agency.

