If a judgement is obtained against someone who is disabled, can they lose their house?
First, being disabled does not protect one from losing one's home--so, for example, a disabled person could have their home foreclosed upon if they default on a mortage or HELOC, or don't pay taxes. (And, for that matter, a disabled person can be evicted from a rental.)
However, unless the person defaults on some debt (like a mortgage) for which the home is security, they will not lose the home. Even if a monetary judgment is rendered against a disabled person, which the person does not pay, the worst that would happen vis-a-vis the home is having a lien put on it. However, this type of lien does not allow foreclosure; it remains as a cloud on title and must be satisfied in order to sell the home, but will not result in the home being taken.