Yeah, there’s a enormous quantity of literature showing that minimum wage increases haven’t increased unemployment by any measurable amount. You’d have to do some pretty selective reading to miss it.
Here’s Brad DeLong’s summary, of which the most relevant bit is: “The majority of economists believe that raising the minimum wage from its current level would significantly boost the incomes of the working poor and have little adverse effect on employment. A large minority of economists believe that raising the minimum wage would actually increase employment…There’s no debate on whether minimum wages at their current level are discouraging employment. They don’t.”
As a general rule of thumb, anyone who makes claims about the negative effects of minimum wages on employment, without even mentioning the fact that the majority of economists disagree with that claim, probably isn’t worth listening to. They’re selling a political fantasy, not a scientific belief.