I try not to get mixed up in this stuff anymore. I just can't help myself.
Yes, regardless of the job.If you give up 40 hours of your life every single week helping someone make a profit then you deserve a living wage.
How do you define a "living wage"? I don't think someone working fast food or doing basic manual labor as a long-term career should be guaranteed a single-family home, car, retirement, access to the best healthcare, etc. It's attainable in some parts of the country, but there are a lot of areas that are simply too expensive for that. If you want more, you need to strive higher than that.
I would prefer more effort be spent on educating people that want more as opposed to subsidizing people that are comfortable in their status quo. Minimum wage should not be a career goal.