I honestly don’t understand why there aren’t more...

I honestly don’t understand why there aren’t more people who, when given the platform to discuss minimum wage, don’t simply distill it to the simplest of facts:

A forty hour work week is considered full time.
It’s considered as such because it takes up the amount of time we as a society have agreed should be considered the maximum work schedule required of an employee. (this, of course, does not always bear out practically, but just follow me here)
A person working the maximum amount of time required should earn enough for that labor to be able to survive. Phrased this way, I doubt even most conservatives could effectively argue against it, and out of the mouth of someone verbally deft enough to dance around the pathos-based jabs conservative pundits like to use to avoid actually debating, it could actually get opps thinking.
Therefore, if an employee is being paid less than [number of dollars needed for the post-tax total to pay for the basic necessities in a given area divided by forty] per hour, they are being ripped off and essentially having their labor, productivity, and profit generation value stolen by their employer.
Wages are a business expense, and if a company cannot afford to pay for its labor, it is by definition a failing business. A company stealing labor to stay afloat (without even touching those that do so simply to increase profit margins and/or management/executive pay/bonuses) is no more ethical than a failing construction company breaking into a lumber yard and stealing wood.
Our goal as a society should be to protect each other, especially those that most need protection, not to subsidize failing businesses whose owners could quite well subsidize them on their own.