It's the economists who poorly design studies with the intent of demonstrating that it either causes prices to rise uncontrollably (which it doesn't), causes unemployment to rise (which it also doesn't) and who pointedly never, ever, ever look at the effect it has on profits (it is savage towards profits, which is why the marketing budgets for stuff like this gets approved: http://kron4.com/2014/07/18/new-sf-billboard-says-workers-wi...).
They all know where the money is in their profession: it's at ideological corporate think tanks. If you can tread the fine line between not lying and saying things which they really like you've got a good career ahead of you.
As it happens, 'moral' arguments that say that you shouldn't raise the minimum wage work better when you can claim that it will hurt the people it is designed to help. Those arguments fall flat on their face when it becomes apparent that raising the minimum wage just transfers profits into workers' pockets directly.