The problem is that the minimum wage does not increase the overall demand. Like I said before, only those who keep their jobs get the benefit of an increased wage.
All workers will earn less than what they make the employer. Its a necessary thing when you think about it. How can an employer pay someone more than what they make the employer? You cant...
If the argument for a minimum wage is to help the poor. Either you think that they are being abused by being under paid, or they will die because they dont have the money to purchase the things they need.
The first part is much easier to argue against, so ill start there. Not every person who employs a person is rich. An unskilled person who say wants to take a job cleaning a store because they need an income, will find it hard to get a job. This is because the person who is unskilled will bring very little profit to the employer per hour. If a person wants a job, you can only accept once that person brings enough value to you. The tragedy of the minimum wage is that it raises the bar for employment. Poor people will find it much harder to get a degree, and if they dont, will be stuck working their way up. If they cant take the first step by getting a low wage job, then they will have to get money from the state. Getting money from the state does not give you skill and so its an endless cycle.
If the argument is that people inherently have a higher value per hour than the lowest minimum wage, then how do you measure? The high school drop out rate in the US is in the mid to upper single digits. Most of those people have very few marketable skills. If they truly had value above or equal to the minimum wage, then it would be very easy for them to get a job, and yet we have a very large pool of people who are unemployed. Greedy employers wanting to make money would scoop up those unskilled works and make as much profit as they could, but for some reason they dont...
If you view minimum wage as a social tax, then you have to answer is the tax worth the benefit. Like I have explained before, the minimum wage hurts the poor far more than it helps them, so the tax does not help them. And if not them, then whom?