The debate is not settled though. You appear to be stating outcomes as fact, when they actually are not.
This link has some data. Maybe not the best, but first result, and appears non biased.
Minimum Wage Increases: Do They Create Jobs or Cause Unemployment? - The Money Question
In general, job losses no, but less new low wage jobs coming on the market. If the raise is incremental. Large lumps in minimum wage look to be bad.
The bit that I think matters is item 2 on the link. Increased consumer spending.
Because of course, people on minimum wage are more likely to be living hand to mouth. So any extra they get is much more likely to go straight back into the economy, so the local economy is lifted . The more they have to spend, the more stuff is bought.
And if more stuff is bought, the less shops and businesses have to raise prices to cover their increased wage bill.
I know that last bit sounds a bit like a perpetual motion machine, but when you think about it, it does make sense.
That's my thinking anyway.