What minimum wage workers make now or in the future has nothing to do with the push for automation. The push for automation is because of technological advances and not to due to the minimum wage. Labor is dirt cheap in the USA by historical measures.
Business does not adopt a change in technology unless it affects the bottom line in a good way. McDonald's didn't put in Kiosks simply because somebody invented a kiosk. They are a pure substitution of capital for labor because the ROI made it worth implementing them. To think otherwise is simply wrong.
Also, historical measures have nothing to do with future business plans. Substituting capital for labor is done with respect to current costs and what those costs are expected to do in the future. Saying that the minimum wage rate in 1938 was $0.25/hr has absolutely nothing to do with business planning today.