FGY33's are known for bad coilpacks, but that is more intermittent. Most don't complain of it stalling the engine.
I'd say to inspect and clean your MAF sensor (just past your air filter inside the black tubing), and also to ensure battery connections are clean and tight.
Have the alternator tested (and battery as well) at Autozone or a local auto center. Have them read your codes as well (even if CEL is off) for additional information.
That will all cost you $0! (perhaps $5 for a can of MAF cleaner at NAPA)
Also Mike, our cars are very picky about which spark plugs to use and most everyone here will run only with stock NGK plugs.
All of your parts should be purchased from Infiniti dealers - use only OEM parts for most components. We are sponsored by Infiniti of Scottsdale, and you can buy parts from them at
http://www.infinitipartsusa.com