It reminds me of an old joke regarding why a dog licks his balls. The answer is of course because he can. The Republicans in the House have much more self confidence that they'll get reelected in their communities which probably have very little immigrants - legal ones at least. That's why every race matters. If there were as many "anchor babies" as Republicans claim, they wouldn't be saying that. Either that or the anchor babies are more concerned with partying, getting pregnant, or joining gangs to care about other immigrants or their own parents to register to vote.
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Late 40's Dreamer (Holy Fucking shit I'm almost 50 and still dealing with this), aged out of original DACA and didn't have a chance to apply for extended DACA after Republicans killed it on the vine.