You can't act like unemployment is due to the minimum wage.
Here's some math:
The GDP in 2011 was $15trillion and it's almost definitely more today, but lets use that.
The pre-tax minimum wage is $7.25/hr, but let's be "crazy" and make it $10/hr.
There are 320 million people in USA. (Let's just employ everybody, just to prove a point)
Let's give them all full-time jobs, because we're so nice.
320,000,000 people x 40 hours a week x 52 weeks a year x 10 bucks an hour = $ 6.656 Trillion (leaving $ 8.344 Trillion for "incentives" and reinvestment)
Even when I put every variable to the extreme against the minimum wage, we'd still have enough money to employ every single citizen, to pay every CEO in America around a $100 million, Every manager around a $1 million, and still be able to pay incremental raises at every level. That leaves
$Trillions for capital investment, to buy/sell stock, and to pay dividends/interest. The government still gets their cut when it's all done, no problems.
The only reasons for a business to under-pay or under-staff are some combination of A)Bad investments (or over investment), B)High Executive pay, or C)Something Illegal. We need safety-nets, minimum wage, and regulations because the free market has no empathy; if high unemployment, low wages, and poverty lead to the economic prosperity of companies individually, the free market will support that trend. If you still don't get it, re-read that last paragraph and show me where a free-market would do better.
But, it's not even a matter to debate, raising the minimum wage doesn't raise unemployment; it's been empirically proven:

This graph is the effect of increasing the minimum wage vs the unemployment rate. The average effect is zero, no change at all to unemployment rates. This goes against all the supply/demand models and there are dozens of theories on why it works this way, but it really doesn't matter. When we look at what actually happens instead of what "should" happen, we find that an increase to the minimum wage has absolutely no effect on unemployment rates.