Not only would raising minimum wage not at all likely have a negative effect on employment as studies have indicated, it actually has a positive effect of putting more money into peoples' hands and having them spend it at the local level where economic growth mostly occurs.
Also, you would think that those on the right would welcome an increase in minimum wage because it would have an effect of removing more and more people from having to rely on "big government" to help them.
Finally, most companies probably keep only the personnel that they need to get the work done, so paying their workers a bit more is not likely to have an effect with most. Someone a while back figured out that raising the minimum wage to $15 an hour, which I'm not suggesting btw, would raise the price of an average hamburger by less than 5 cents.