All thinking about this issue that's grounded in conventional economic theory from the 20th Century will be ineffective.

Your arguments would be effective if it weren't for the accelerating deflationary effect of technology on the demand for human labour. Sector by sector, job by job, technology is becoming a substitute for humans as critical inputs for the production of goods and services. As much as I wish increasing the minimum wage were a panacea to many of our problems of wealth and income inequality, history will prove it to be exactly the opposite.

The true solution is to stop measuring the value of human effort by the size of a paycheck, investment holdings, property, etc. Until we reach the tipping point where consumables have little to no cost because their production has become so efficient, some form of Universal Basic Income will probably become the norm. Once we reach the tipping point, the whole concept of "money" will be unnecessary. Until then increasing the minimum wage will simply make humans less and less competitive in comparison.

The only silver lining to raising the minimum wage in general? It'll serve to hasten the sociopolitical shift that will result in real positive change. Until then we can expect more income and wealth transfering to the 1% as they take advantage of faster employment of machines labour.