When you really think about it, it seems astonishing that anyone would object to this. But politics being what it is, you're not astonished at all, because the capacity of political people to disregard obvious truth is almost unlimited.
If you're on Medicaid, it's because you can't afford your own health care or health insurance. The point of public assistance should be not to merely give you things, but to assist you in reaching the point where you can be self-sufficient. To the extent access to Medicaid would be tied to a connection with opportunity, that would seem to be something people of all ideological stripes could universally applaud. I'm not sure why all 50 states are not chomping at the bit to sign up for this, but for now only two have taken the leap: