Having grown up solidly in the class of the "working poor", I can tell you a side of the story that is not often told - there is not enough difference in quality of life between "working poor" and just being on public assistance and unemployed. When you are unemployed, you get government benefits, and most people either have a side hustle (odd jobs under the table, or sometimes something blatantly illegal), or commit some type of fraud like claiming to live on their own when in fact they split rent between many people. I'm not judging here, it's just what happens.
So you get these people who make minimum wage, they aren't really living substantially better than those who don't work, yet they have to work 40 hours a week for some ahole with a Nepolean complex, and we wonder why so many people choose not to work?
The right-wing position is that we should slash benefits because of the lazy ones taking advantage of the system. The left-wing position is that all the poor are just misunderstood. My position is that, from experience, yes there are able-bodied people who are choosing not to work, it is a problem, and the proper way to deal with it is to make sure there are substantial benefits to having a job.
Yes, raising minimum wage will make a minor increase in unemployment, and will make a bit of hardship for a very small number of restaurant owners, those are valid points, that in my opinion are not terrible enough to keep the minimum wage low.