I don't believe that raising the minimum wage will trigger businesses to cut jobs significantly. They will probably pass the higher cost onto the consumer. Ultimately, it's a method of wealth redistribution, which is sorely needed in our economy.
The problem with this type of wealth redistribution is that the poor are often consumers of the same products and services served by min wage jobs. This is one of many reasons I support unconditional basic income. It allows labor to be accurately priced in the market, without raising cost to the poor.
As opposed to the kind where the bosses pay absurdly low wages and distribute the profits to themselves?
Update: grammar, typo