It's not the money supply. It's the money flow, which you can model as a product of money supply and money circulation speed. A $1000USD minimum wage will increase circulation speed and from there induce inflation.
Don't read too much into my comment. Your argumentation was based on the the fact that inflation only occurs when you add monetary mass. I just pointed that that's a naive view. Contrary to your statement, you can legislate inflation into existence by creating conditions for increased money flow.
I did not say anything about the benefits of increasing minimum wage. In general it is known that the absence of minimum wage creates unsustainable imbalances of income society-wide. However, I don't know the US economy well enough for an informed opinion. Your current imbalance of income is huge, but that's only one data point.
