To be fair, the non-stop shouting campaign from the GOP and the Right-wing Media that "Obamacare" is evil, Evil, EVIL, anti-American, Communistic, and Threatening to the Very Existence of Our Nation and Jesus … well, it's not too surprising there's a knee-jerk reaction to the name, even from folks who support all of the ACA's provisions.
(h/t +Les Jenkins via http://stupidevilbastard.com/2013/10/which-do-you-support-obamacare-or-the-affordable-care-act/)