It looks as if President Obama has successfully set a political trap over the minimum wage. Raising the minimum is very popular — even a narrow majority of Republicans (pdf) are for it. But Republican leaders are opposed. And they’d like people to believe that their opposition is driven by sincere concern for workers who might lose their jobs.

Well, this isn’t likely to work; the public won’t believe in their sincerity, and for good reason. Here are two examples of why it won’t wash:

1. The truth is that top Republicans have so little regard for ordinary workers that they can’t even manage to pretend otherwise. Case in point: on the last Labor Day, Eric Cantor declared,

Today, we celebrate those who have taken a risk, worked hard, built a business and earned their own success.

Yep: even on Labor Day, Cantor had nothing positive to say about workers, just praise for their bosses.

2. Consider a working couple with two children, earning the current minimum wage. How much federal income tax do they pay? If I’m doing the math right, the answer is, none — they get a refund. (They pay plenty of payroll taxes, sales taxes, etc., but that isn’t supposed to count). In the minds of Republicans, this makes them lucky duckies, members of the 47 percent, part of what’s wrong with America. The GOP just can’t credibly claim to suddenly be deeply concerned about their job prospects.

Maybe once upon a time, when Republicans were less intellectually inbred, they could have pulled off the stunt of seeming to care about the people supposedly hurt by a higher minimum wage. But I really don’t think they’re up to it at this point.