However, your FIRST line is the most damning for my argument, as it implies an aspect that I simply have no defense against. SMALL businesses can afford less in total payroll and still remain competitive due to their inability to take losses year after year and still retain liquidity. Larger businesses can shoulder those losses by spreading them around to the various facets of their business, facets that a small business, by definition, don't have.
But then, typically, small businesses don't pay minimum wage...to any of their employees. It would seem, then, that the REAL solution is to kill big business.