I don’t know of any good sources that cover this in terms of comparing policies. But most of my points (eg inflation negating minimum wages and the whole discussion consuming political capital) are self evident. The most extreme example of minimum wages failing is South Africa. I’ve seen interviews where people in poverty there want it to be removed since it just leads to more unemployment and/or black market employment below the minimum.

I don’t understand the link to medical insurance. In my country poor people get free healthcare. Low wage earners still get taxed, which I think is immoral and is exactly the kind of policy discussion that minimum wage proponents smother.