Why does a Right to property trump a Right to liberty? That can only be sustained by resort to some standard outside 'Rights', which means that (whatever it may be) is the standard of justice, not 'Rights'. That something is, of course, a belief in equality of persons--with (justly obtained) property as an extension of people's being.

So it looks like, properly understood, liberty is the product of justice, following from a requirement of mutual respect for persons and their property generated by the belief in equality. For justice, then, equality is all we need.