1) I feel like you know that is an oversimplification, and therefore you are not arguing in good faith... Something I would really like to not do here.
2) Even if we assume that a $15 minimum wage would eliminate a notable number of jobs, elimination of jobs is not equivalent to unemployment. We, as a society, are okay with, going by your own argument, eliminating all the $5/hour jobs (with state minimum wages being $7.25+) because it does not lead to significantly less overall employment. Do you have evidence this would not also be true with a $15 minimum wage?
2) Even if we assume that a $15 minimum wage would eliminate a notable number of jobs, elimination of jobs is not equivalent to unemployment. We, as a society, are okay with, going by your own argument, eliminating all the $5/hour jobs (with state minimum wages being $7.25+) because it does not lead to significantly less overall employment. Do you have evidence this would not also be true with a $15 minimum wage?