Until your mortgage is paid, it belongs to someone else.  When you borrow money to buy a home, which is an option, you must agree to the terms of the mortgage.  In other words, you obligate yourself to buy insurance for the home.  You do the same if you borrow money to purchase a car. When you pay the mortgage off, you may choose to drop your insurance.  You do see why this is a false equivalency, right?
I disagree with auto registration.  It's just another tax.  Liability insurance is mandatory to cover the costs of damage you may cause.  It should be capped over a lifetime.  None of these are equivalent to the false notion that healthcare is a right.  It clearly isn't.