If they repossess your car can they also take your home?

This could vary by state, but in every one I have lived in only your Mortgage company can take your home. Other's can only place leins on it which would have to be paid to transfer the title, refinance, sell it, etc. The lender on your auto has no legal claim on your home and if he wanted to try to get one he would have to take you to court and get a judgment against you to try to get a lien.