It's worth noting that without a price floor, people will spend all of their time working just to eat. This can be seen all around the world in developing countries, for example where children shine shoes and scavenge trash to recycle for a quarter a day. Meanwhile the wealthy in those communities pay merely enough taxes to prevent a revolt.
So the minimum wage is really about deciding what type of society we want to live in. Do we want servants, or do we want opportunity? In developed countries, jobs below the minimum wage get automated or some form of government assistance pays for the jobs that can't be, for better or worse.
A better word for deregulation might be decivilization.