To be more realistic figures for Switzerland, we might use these figures for full-time employment:
$25/h pay
42 hours/week typical working hours
45 weeks/year typical working days
That gives us a figure of $47,250/person, or just under $95k for a household with two full-time earners.
In the US, that would be a little under the midpoint of household incomes, i.e., more households do earn more than that. [This is wrong. See edit below.]
Remembering that Switzerland has relatively low income inequality, relatively high cost of living, and relatively high salaries (typically 2-3x what the same job would earn in most of Europe), the proposed figure doesn't look crazy from here.
Edit: The first source I found turned out to be completely wrong about US income levels. Thanks to 'bluedevil2k for pointing this out. Checking multiple other sources, the median individual income is reported as around $27k, though it's not immediately clear whether the various alternative stats I found were calculated only for full-time employees or also included the unemployed, part-time staff, pensioners, and the like, all of which would presumably tend to bring the figure down.
On reflection, for this discussion the mean individual income, including all income types, is probably more interesting. That is a little over $40k in the US, or about $81k for a household with two full-time earners, if it could be translated directly into wages. Given the differences in cost of living and typical salary levels for Switzerland, and the wide variations in salary depending on which part of the US you're looking at, I'm not sure this would change my overall conclusion that the proposed minimum wage in Switzerland isn't completely crazy on direct affordability grounds, though clearly it looks more optimistic in light of the adjusted figures.