But of course Germany was a bit of an anomaly in Europe: this stuff is old news to most of the rest of Europe.
Regardless of ideology, the debate seems to be about the cost of minimum wage (especially on the right side) and not really about the benefits. The benefits of not having abject poverty in your society are many. Minimum wage is an important tool for that. Regardless of your position on this, you'd have to consider both cost and benefits for any analysis worthy of that word.
To name just one such benefit, people with disposable income tend spend that income on things. This is great for the local economy. So instead of funneling money up the corporate hierarchy towards off shore accounts, a second house for the CEO, or whatever, funneling money back into the economy where it actually gets used has an effect on that economy: it grows.
Seattle seems to be doing fine demonstrating that this works as advertised. More people can afford to go to restaurants so the restaurant business is booming. That should not be that surprising to economists.