According to this Conservative HQ story. About half-way down the essay.
When applying on an exchange, you will have to admit ownership of your guns to the Feds. That makes Obamacare registration a precursor to gun registration.
"Then there’s the wonderful ObamaCare “data hub” — where you must reveal all your personal information, an identity thief’s dream. ObamaCare even demands to know how many different sex partners I’ve had in the last year . . . and whether I own a firearm."
Be very afraid...