If you made this argument 100 years ago I might be inclined to agree with you, but "reasonable" minimum wages (i.e.: a 40h/week job pays always enough to feed a family and a roof over your head) have been tried and tested in countries all over the world and as far as I'm aware, they're almost always a success.
The 'low skill worker' losing job opportunities because of too high minimum wages is a myth that just doesn't hold up to reality, no matter how many times conservatives afraid of losing their own bottom line or relative status repeat it.