I respect your desire to help people, but I think we would help more people by getting rid of our minimum wage altogether. Youth unemployment is at extremely high levels. The higher you make the minimum wage, the more you'll increase unemployment, especially for those with the fewest skills.
In my view, if you are going to have a minimum wage law, people should be able to opt out of it if they are willing to work for less.
Here is a recent editorial on the issue.
I agree with you. Having chronically unemployed people is not good.