McDonald's is already testing ordering machines. I'm sure most of us have been to a grocery store with self checkouts.
The minimum wage doesn't necessarily cause unemployment, but it does increase unemployment amongst those with the least skills.
Automation is going to become a very real problem. Increasing the minimum wage is a good idea, but eventually we're going to have to address the problem of mass unemployment when there little to no lower-tier jobs available.
We're talking about basic income (negative tax) for the unemployed, and subsidizing education to get more people into white-collar positions.
By creating a flat tax, and flat payout, you can eliminate huge swaths of welfare and entitlements in favor of a consistent system with much less bureaucracy. In order for this to work, you have to eliminate corporate taxes in favor of ensuring that companies pay out to owners/shareholders who in turn pay taxes on that income. With a flat payout, you can also reduce retirement programs as they stand.