You have to understand, the majority are never going to start a business. They refuse to grasp operating expenses for small businesses. They are only thinking about mega-congloms. Not realizing that those companies will pay more, but have a smaller (leaner) workforce with higher pay. The employed will be expected to work even harder for their paper.
I personally agree with a higher minimum wage, but if I patronize a business who increases prices alongside those rising wages, there is a possibility that I may no longer be a customer if the services aren't upgraded with the additional fee. An example would be a sporting event. I used to be able to get a Knicks ticket for a reasonable price when I was in town, but they have priced me out completely. I don't want to pay those prices for non-excellent seats. Luckily for them, they have such a large pool of customers to choose from it doesn't hurt them. Small business doesn't have this luxury.