Good, clearly we've established that there is such a thing as a minimum wage that is too high, and the point of peak effectiveness is less than $100.
Now the question is: is it
(a) less than $12
(b) around $12
(c) around or over $15
You claim it's (c). I claim it's (b). What evidence do you have for (c)?
Look at the rate it's climbed and frozen to, as well as look at the returns via income versus the increase and personal productivity in labor.
Both here show a kind of paralysis to wages in general. If one was paid based on per capita productivity, minimum wage is already above the teens, into the early twenties.
My internet is being profoundly shite, so I can't bombard information at the moment, but I will try and give some information referring to the Great Decoupling problem I mentioned earlier, as I know that's a rather esoteric term.
I'd suggest watching the embedded video on this page to get a grasp to the problem of wages simply being paralyzed. For this reason, the idea of an increase is either resisted because people believe this will incorrectly cause a type of hyperinflation and displacement of labor -- the displacement is an inevitability, so this is really a nonsense qualm -- or people are so normalized to what we have that fixing it seems too stark, so baby increments are suggested and incorrectly asserted as a large enough solution.
When nearly 40% of Americans can't even make double the poverty line in terms of incomes, in the wealthiest, most productive nation in the history of the human species, you have to wonder just what in the fuck has gone wrong, here. It starts with a precariat class, and that includes frozen wages with a lack of growth to scales it should be linked towards. Productivity per capita is the clearest example, to me, on how this link has been severed.
May I ask why you think $12 is enough? Why is this the goldilocks minimum?