The minimum wage is a price floor, and like any price control, there's exactly two ways it can effect the economy: it can result in a shortage of labor or it can have absolutely no effect. At $7.25 it's closer to the "absolutely no effect" side of the spectrum--I've seen high turnover, low wage jobs priced above that due to market forces alone. There might be paid apprenticeships that are priced out of the market by the minimum wage, but that's speculative.

The entire rest of your post is frankly nonsense--it's clear you've never actually learned anything about economics, because most economists concede that the minimum wage doesn't really do much to help anyone, and if anything, only increases unemployment.

History doesn't back you up on this--the 19th century was a materially poorer time in the sense that less wealth was being created to begin with. While large numbers of immigrants lived in poverty, they voluntarily chose to live in those conditions because it was the best opportunity they had. If there was a minimum wage above and beyond the value their labor could legitimately produce, they wouldn't have had that opportunity and they would have been materially even worse off. More to the point, there is still a permanent underclass of immigrants living in poverty and earning less than the minimum wage in this country. When the relevant wage and immigration laws are enforced on that population, the net effect is that they're forced to live in the impoverished countries they voluntarily chose to escape from.

As for the rest of us, our recourse is to legitimately generate more wealth than the cost of our wages and benefits so that we remain profitably employed. The majority of the American population is doing this just fine without the government coming in and setting our wages for us.