Every State I have ever lived in had their own unique minimum wage laws. The Federal government is more like the EU, much of its policy function is to harmonize the laws of the States. Americans have almost no interaction with the Federal government; the laws they live under, the taxes they pay, and the social programs available to them are almost always specific to the State.
Under both the articles of confederation and the current constitution (with and without amendments), the idea of limited federal government was not personal freedom, but state's freedom (eg. powers not given to the federal government are given to the states).
Arguably, the strenthening of the federal government led to more constitutionally protected individual rights, as it led to the bill of rights being interpreted as restricting states as well.
put otherwise - some people are working 2-3 jobs in order to feed, house, and clothe their children and it still is not enough. i have no ears for any principled argument in favor of the current state of things.
There's a lot to be proud of but there's also a lot to be ashamed of.
if you don't at least pretend to be Christian, or if you're say, gay, or like abortions, you lose access to many charitable funds, reducing your individual liberty when the rubber hits the road
In that context, you could look at the data on inequality and still make a principled argument as to why a federal minimum wage is undesirable.