Minimum Wage and Currency valuation don't really play a role on each other. MinWage is a Government Mandate of what a minimum wage should be paid to a worker. The problem is that such a mandate forces prices on widgets to rise because the cost to manufacture those widgets continues to increase. So either 1 of 2 things happen... The wage-cost increase is passed along to the consumer and we pay higher prices and, in effect, pay for the Government's mandate. Or the market refuses to accept the cost increase and labor must be trimmed back. Thus dumping workers into the unemployment line.
Typically Option 1 (passing cost along) is usually successful. But in hard economic times, Option 1 fails and Option 2 (laying off workers) becomes the standard practice.
Its not automatic that an increase in minimum wage will cause an increase in prices, nor create surpluses. It does not lead to unemployment.
For one thing, in most areas, employees are making over minimum wage so the effect is not that harsh.
It also builds up a consumer base which is needed to drive the economy, and decrease unemployment. Now, more consumers means more demand, which could cause prices to rise, but that would be a good thing in a recession.