You can get EITC without having children. I know this for a fact because a couple of years ago I was eligible for it when I was in grad school and working part time.
Anyway, you can't run on "Ooooh, Obummer and the Dim-o-crats are gunna raise yer taxes! Oogah-boogah!" and then turn around and demand that poor white people pay more tax than they otherwise would.
Why not? Democrats ran on healthcare reform, but they passed a terrible "Republican" law that the executive branch couldn't even execute without crippling our fragile economy.
Yes, you can get EITC if you're single, but look up the benefits schedule and you'll see the amount is basically nothing compared to the scheduled benefits. The sad part is that we have bipartisan support for raising the EITC for single people by 200% or 300% depending upon the specific proposal. Unfortunately, EITC reform isn't good for a political punch-up so no one does anything about it. Kind of like corporate tax reform or income tax reform.