When my alternator went my ABS, SLIP, and TCS OFF lights all came on. My ABS is fine, sounds like yours is having a problem. And your alternator is likely burning out because it's trying to keep recharging your battery like Tech said.
I don't personally have a problem with rebuilt alternators as long as they have a warranty as I have used them many times. I would guess 1-2 out of 10 will be junk. That said... I wouldn't recommend them for a Q due to the difficult R&R as compared to something like an old chevy truck where you can swap it out in 30 min. I'd rather install a used OEM than a "new" rebuilt/remanufactured in my Q. Get Denvers alternator if you need one, a new one is $307 from Joe (Scottsdale Infifnti,
http://www.everythinginfiniti.com). I got a used A/C compressor from Denver and just got it installed last weekend and it's running like a charm, nice a quiet. (thanks Denver, by the way!)