I say this as someone who started working before the minimum wage even existed, at a fraction of what it was when it was introduced.
A few years ago I saw my first self grocery checkout and the self ordering machine at a&w or the machine to buy tickets at a movie theatre. These things were coming before and shouldn't be part of the discussion where we assign it as the outcome of the wage increase.
Ideally this would happen, but those jobs just aren't opening up for most of the country. Socioeconomic mobility is on the decline[1], and like I showed already, the lower class is growing considerably. The ladder is already being pulled up & automation (and outsourcing) is already occurring, regardless of the current minimum wage.
[1] https://en.wikipedia.org/wiki/Socioeconomic_mobility_in_the_...
[1] https://en.wikipedia.org/wiki/Social_class_in_the_United_Sta...
[1] http://www.pewsocialtrends.org/2016/05/11/americas-shrinking...