Really? Then why is there a single person anywhere making more than minimum wage right now? Why don't employers just pay everyone minimum wage?
Maybe you're the ideologue.
Maybe let's just assume all labor is identical, that there are no differences in minimum wage positions and positions that pay higher, and pretend it makes sense?
I mean, seriously, did you really ask this question?
There is a difference between skilled labor and unskilled labor. Experience matters in some positoons.
But what are minimum wage positions?
Food service workers. Assembly line workers. Janitorial services. Parking lot attendent. Car washer.
The reason the pay for these jobs is low is because pretty much
anyone can do the work, with minimal training required. The company has no incentive to be fair, because they can always hire some other person to fill the same spot. The quality of the work for most of these doesn't matter; if they can perform acceptably that's all that's needed. In some cases, performing well is a detriment: the faster assembly line worker can't work faster, because the line has a certain pace. Too fast causes backups at other locations. There's minimal difference between a cheerful McDonald's clerk and one who just goes through the motions and gets the order. And if they want cheerful, they just fire the guy and hire someone else.
The supply is, essentially, unlimited.
Compare that to, for example, my job as a computer analyst. It takes skill and training for this position, it's not somethign anyone can do. a small percentage of the population gets the education, and has the experience, to do what I do. So there is a limited supply. I am worth more, because the work I do is NOT something anyone can.
Your question is about as honest as asking why gold costs more than iron. I mean, tehy're both metals mined out of the ground, right? Why doesn't everyone pay the same price for both?