If the car is titled in both your names and a creditor obtains a judgment against one of you, the judgment debtor's interest in the car is subject to execution, minus the statutory exemption ($2400) and the "wildcard" exemption ($4,000). The non-judgment-debtor's interest is not subject to execution, and the expense involved in partitioning personal property is such that I have never seen it done for a vehicle. So as a practical matter, it is unlikely the creditor will do anything.
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