The constitutionality of a Federal minimum wage is questionable. It was ruled unconstitutional in the 1930s along with a number of other expansions of Federal authority, however, the president and congress threatened to increase the size of the supreme court and add enough sympathetic justices to allow the replacement legislation to stand.

Changing the Constitution is intended to be hard. I want my elected representatives to be much more reluctant to change what the government is allowed to do than to change how it does the things it's already allowed to do. I especially want a list of things the government is not allowed to do to me, and I want it to be extraordinarily difficult to remove items from that list.