Build more housing, build different kinds of housing, build housing that has built-in social worker and nursing help, make it government owned and non for profit
Locke would've just enslaved them or something for being minorities. Hobbes might point out that the state can't tolerate people living outside the system, making their very existence a threat. He might support prison slavery to maintain the system. He also might not if he had context about the modern world. Locke would definitely support modern liberalism though.