In my state, the answer would be no to the question as to whether the property would be transferred to you.  The dissolution of the limited property, the title would re-vest in your dad.  His quit-claim deed into the trust would trigger the property, upon the demise of your father, to pass to the beneficiaries of the trust.  Absent specific restrictions in the granting documentm you would have no claim.Please note that the answer is specific to the law of may state and my vary.