Agreed. I'm thinking maybe this was the wrong site to post this on. I'm a liberal and heavily in favor of policies that would help out the lowest earners, but I like to consider arguments that I think might convince the other side on their own terms, or at least address common objections. So I hope it wasn't too offensive to look at things from the hypothetical perspective that there could be something wrong with increasing minimum wage. I think your points about examining a the effects of raising minimum wage from a higher starting point would make for a good followup study, if one could tease out the effects of skill from differences in earnings in some other bracket.
I'm not sure what would have been offensive, so I don't think you really need to worry about that. There are some resident conservatives on here who probably have a different take, but for the most part, I think most of the regular contributors here are left leaning. Anyway, this is a conservative group, and even they conclude that the minimum wage is negligible in terms of negative effects on the economy.