Why should my tax go towards paying for health care, welfare payments, etc for those not clever enough to get a well paid job or with enough get up and go to get a second job.
The minimum is way too high in this country and for some reason people seem unable to comprehend that a high minimum wage simply equals higher inflation and less jobs - not more high paying jobs.
If a business is seeking to profitably exploit low skilled labour but cannot do so at the minimum wage rate, then the business will not be viable and those jobs will never be created (or the business will more to a country where low skilled labour can be profitably exploited).
I imagine there are many businesses that do not expand and remain family only businesses as a consequence of the high minimum wage. A worker with low productivity may never get the chance to increase their productivity (and consequently their wage packet) through training and experience simply because the initial barrier is set too high.
The market will set the price for labour, there should be no need for government price fixing.