Calling raising the minimum wage "price fixing" is pretty deceptive in this context and I would guess that you don't even know what it means.
The "free market" is not going to raise wages for low skilled workers any time soon if in our lifetimes. If you would like to see 2/3rds of the country sit in poverty because of globalization and a desire by the policymakers to turn a blind eye then by all means support conservative economics.
Without government action to shape the market to be more friendly to the majority of Americans, they have one thing in their future, poverty. The America they can look forward to will largely be a minority with good paying high skilled jobs and everyone else as the poverty class. Teachers, firefighters, police officers, construction workers, cashiers, (average people), will never be middle class again.