This is just dumb. First, the minimum wage isn't a guarantee of a minimum wage. It's a legal mandate setting a productivity floor before somebody can be economically hired for a job. So the biggest costs of the minimum wage fall on those least able to afford it, the lowest productivity workers. That's why you can get mentally challenged people exempted from the productivity floor. Enough people recognize that it's cruel to tell them that just because they don't reach a certain level of productivity, they have to rely on charity to have a job and contribute to the best of their ability. It doesn't get less cruel just because a person doesn't have a documented disability.
Second, the minimum wage isn't targeted. This is a dated statistic, but probably a decade ago something less than a 1/3 of minimum wage workers were actually the breadwinner in their household. So you lock the most vulnerable people out of the workforce and then most of the gains don't even go to the people that need it most. That's why the EITC, fraud problems and all, is a better approach to the issue of making sure productivity workers have adequate income.
Third, if you look at poverty statistics, the problem for the poor is not primarily their wage rate, it's the lack of work at all. Households in poverty have very few full time workers compared to households not in poverty, so anything that removes more job opportunities is making the primary problem worse, not better.
Now you can agree or disagree that any of these arguments win the day, but to call other people brainwashed when you aren't even aware of them is rich. There is one sound argument for the minimum wage that I'm aware of that doesn't just boil down to "I feel better about myself if I say other people should pay more money to low wage workers", but it almost never gets made because most people don't care to think about it beyond "what will make me feel better" rather than what will make low productivity workers better off.
