I'm not sure if this is your intention or not, but your comment reads as if to indicate that you believe so strongly that markets are efficient that you are unwilling to consider data that suggests an inefficiency exists.
Whether or not an inefficiency exists, setting a price floor is guaranteed to create one.
We understand that artificial price controls are generally bad for economic goods, why do we treat labor differently? The fact that human suffering is involved does not magically override market forces.
Because maybe we shouldn't treat human beings solely as economic goods? Sure, the market exists, but it's not like some giant metaphysical thing with laws that bind us the way that the laws of physics bind us. It's okay to do the thing that's more "inefficient" if it better promotes human welfare
But this assumption does not match our understanding of the effects of market manipulation. Well meaning minimum wage laws, just like price floors, can create ineficiencies that are net detrimental to to society.
Imagine an extreme scenario where implementing a minimum wage gives a raise to 50% of the population, while 50% are laid off. I feel like this side is too often neglected in the minimum wage debate.
I would argue that it is better to have 50% of the population on unemployment payments rather than having them employed under below-human-dignity wages. The later looks better on the statistics because those people are working.
The extreme scenario you propose is in my eyes an acceptable result of a minimum wage system, because implementing a minimum wage says "nobody should work and earn less than X$/h". For people unable to find work under these conditions we have social safety nets (well, the US doesn't but other countries do)
First of all, the minimum wage is popular with the crow. So it's a good tool to win votes.
Second, a high minimum wage drives out low skilled workers. So high skilled workers have less competition. Third, companies who already pay more than the minimum wage generally favor raising it to their level because it would drive out competitors that cannot afford to pay that much.