Reader Federalist notes in a comment that, while abolitionists do indeed lie in the death penalty debate, they're winning.
I can see why he's worried. On the whole, however, abolitionism is not winning.
The best evidence of this is the defeat of Prop 34 in California five months ago. It lost by close to a half million votes, at the same time Californians were overwhelmingly choosing to loosen their three-strikes law (by over four and a half million votes) and re-elect President Obama (by over three million votes). When voters in our largest and one of our most liberal states choose the death penalty over LWOP, and do so on the same day they are otherwise massively choosing two distinctly liberal outcomes, it's just very, very hard to make the case that abolitionism is winning. When it's losing in California, it's losing period.
I explained the ramifications of the Prop 34 vote at some length here, but there is yet more evidence that our side is doing better than the opposition. Five items in particular should be noted.