About 5% of workers are on minimum wage in the first place, out of those 5%, some will not be rehired
That doesn't make any sense, businesses don't hire people on a whim, they hire people because they have roles that need doing, minimum wage doesn't change that. Many European countries have a minimum wage, I've seen no evidence showing that is has a detrimental effect, including where I live where it was put in place over a decade ago.
Any business that doesn't hire the people it needs is cutting off it's nose to spite it's face, or shooting itself in the foot, take your pick.
Minimum wage comparison of countries chart Here
Australia's minimum wage is approx $17.50 USD, it doesn't seem to be wrecking their economy.