It's less a function of purely redistribution than it is of that higher incomes pay more tax, and per capita incomes are generally higher in the "bluer" states. Also, locations of major military installations make a big difference in terms of where money gets spent.
As for the "extra economic growth" thing, well, good luck with that. Sounds like wishcasting to me.
Those taxes are for redistribution though, miltiary spending aside. I'm not gowing to retread the economic growth argument, but that would be one way to find out, if historical evidence isn't enough.