...and that money taken from McDonalds will result in higher prices at McDonald's making everyone's earnings seem less driving wage increases, ad infinitum,.
Wages - and especially that subset of wages which are paid at the legal minimum - represent only a fraction of the total costs of operating a McDonald's restaurant. All wages together are about 25% of the total costs, and that includes a non-trivial number above-minimum management and support staff. So even if we make the unreasonable worst-case assumptions that a) all employees do earn minimum wage, and b) that increased wages don't result in any improvement in average employee productivity (because employees are physically healthier and because of reduced turnover) then a 1% increase in minimum wage only makes for a 0.25% increase in cost-of-Big-Mac.
And a 0.25% increase in cost-of-Big-Mac doesn't actually equate to a 0.25% increase in actual cost-of-living. The effect will be smaller or negligible for businesses where staff costs represent a smaller share of total costs, and where dealing with businesses in which employees are already better paid than minimum wage.
And finally, there are a number of costs associated with minimum-wage workers that you're already paying out of your own pocket, without realizing it. Wal-Mart and McDonald's know perfectly well that minimum wage isn't a living wage. Food stamps, state-subsidized health insurance programs, school lunch programs--that's money you're paying because Wal-Mart isn't. Forcing McDonald's to pay its employees a living wage (or closer to one, at least) means that your Big Mac's price is (less) subsidized by the government.