Should it be illegal do do low positive value work?
No argument. But you seem to be making a value inference that low-value jobs aren't good enough to merit the worker a 2br place without two incomes. Why not? What level-sets what you "should" be able to get, for your low-value work?
Minimum skilled worker = minimum wage salary = minimum quality apartment.
I'm not arguing that minimum wage should merit a 2br. I'm just challenging the notion that it shouldn't. There seems to be a sort of, "if you don't work hard and make lots of money, you don't deserve good things", built into that notion. When really, there's not exactly an intrinsic reason why a 2br is too good for a minimum wage worker.
If it's a tight city with high demand and not enough housing, sure, competition for scarce 2br is intense. But if there is plenty of space & housing, why not? SF is a microcosm, most of the country is not like that.
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Figure out your housing budget, go on craigslist or another roommates website, and see what's available in that range.
If there are 10,000 people who want a 2-br apartment at $500/month, but only 1000 apartments, where will the other 9000 go?
Let's say we'll even construct the apartments for them, but that will take time. Where will they live during construction?