Carbineman built an insanely light carbine...in addition to the lightweigh barrel, he used a Vulcan carbon fiber lower, iirc. I think it came in *under* 5 lbs.
I'm doing one now, but I used a traditional lower. I have a a Clark Custom carbon fiber tube I'm having cut down to carbine length...low profile gas block, and I'm using an Ace Tube stock...the same one Carbineman used.
FWIW, I used a Model 1 barrel.
I bought a Vulcan carbon fiber upper, but decided against using it. There was a pic of a kaboom posted somewhere; though not catastrophic, it pushed me towards using a conventional upper.
I still have it, and it's in good shape if you are interested...I'll give ya good deal on it.
Maryland AR shooter.com has an exhaustive database on weight for different components that should be very helpful to you.