I'd also suggest that unless you're looking at county adjusted poverty levels (as in adjusted to cost of living by county) - you're gonna end up with a skewed picture.
That said, the right is correct about something - once you get on the social safety net, its very hard to get off of it, because benefits don't gradually fade out as your income goes up, there is instead a cliff, and all of your social safety net benefits turn off at once - this is why I feel that means tested welfare is social ill, it helps too few, and doesnt provide a soft landing when you dont need help anymore. I'd much rather us do straight up income redistribution (in the form of a minimum income scheme) and medicaid for all.