You really know your stuff I will bow down to your unquestioning wit.
The free market has spoken. The real minimum wage is ABOVE $7.25 an hour this is econ 101 (you should try to find a good textbook to study). So that means that the politicians are save to move the national minimum wage to that point so that the people will say you care, this is political science 101.
Hence you are wrong that unemployment will rise. The people making less than $7.25 an hour now are either working for their family, working a job that they can easily replace with a local grocery store, part time (hence cannot get on unemployment), or paid under the table.
So again this will not affect the unemployment numbers.
Still attempting to make fantasies into reality...
Just because Walmart, McDonalds and those other companies that you mentioned (funny how they seem to be all fortune 500s) pay their employees more than the artificial minimum wage, does not mean that there is not demand for employees below minimum wage (if there are those willing to take a job that pays below it.)
I said prove it and you produced anecdotes, which are not proof (as I have been reminded countless many of times.)
You haven't actually proven that the market would not consume additional labor if it was free to pay them below minimum wage.
You haven't actually proven that the wages at the bottom of the market are above minimum wage.
Mostly because such knowledge is not possible to actually determine with out doing away with minimum wage.
If all jobs pay more than minimum wage, or the vast majority of jobs pay more than minimum wage, then government abolishing minimum wage will have zero effect on unemployment, proving you right.
If the abolishment of minimum wage effects unemployment by reducing it by a small amount (which would be natural in a recovering economy) then you would be proven right.
If, however, the abolishment of minimum wage drastically reduced unemployment faster than return to economic growth could explain then I would be proven right.
But, alas, as the government is not interested in letting the market be free to govern itself then this experiment will not be done, and thus all you can do is theorize, which is really all that economists do, regardless of how much expertise that they have.