You give up a lot with a 16" barreled .308 if yours is 16".
Comparing heavy loads.
Factory loads from my 16" DPMS
168gr FGMM velocity from my chronograph, was 2350fps and 2071ft/lbs energy at the muzzle.
My handloads for that weight matched it.
Heavy bullets for the 6.8 16" barrel is a 140gr Berger at 2401fps, with 1802ft/lbs of energy at the muzzle.
Both zeroed at 200 yards.
The .308 at 100 yards is 2167fps/1752ft/lbs +3 inches
The 6.8 at 100 yards is 2235fps/ 1552ft/lbs + 3.5
200 yards .308 1987/1473 0
200 yards 6.8 2075/1338 0
300 yards .308 1817/1231 -11.8
300 yards 68 1921/1147 -11.3
400 yards .308 1657/1024 -34.1
400 yards 6.8 1776/980 -32.4
500 yards .308 1509/849 -69.2
500 yards 6.8 1639/835 -64.9
600 yards .308 1375/705 -119.5
600 yards 6.8 1510/709 -109.8
700 yards .308 1258/590 -188.3
700 yards 6.8 1393/603 -170.0
800 yards .308 1160/502 -279
800 yards 6.8 1289/516 -248.9
900 yards .308 1084/438 -395.6 .308 is subsonic here.
900 yards 6.8 1198/446 -348.8 6.8 still supersonic
1000 yards .308 1025/391 -541.8
1000 yards 6.8 1123/392 -473.5 Still supersonic
Though the platform is not much heavier in the lightweight .308, the barrel length takes away a good portion of the advantage the .308 has with heavies. Starting at a 269ft/lbs advantage at the muzzle, 100 yards still significant 200ft/lbs, 200 yards it's down to 135lbs, it's only 84ft/lbs better at 300, and by 400 yards it's 44lbs, 500 yards , it's down to 14ft/lbs. At 600 yards the 6.8 passes it, but it stays tight out to 1000. In the energy department, the 16" .308 has a noticeable advantage out to 200, and a little bit of one at 300 and 400.
In the trajectory department the 6.8 is equal or better throughout the range. The windage is in favor technically of the 6.8 in this comparison as well, with a 1 inch difference at 500 yards, and 17 inches at 1000. Basically close enough numbers that they are about identical.
With that light weight and shorter barrel, you get a big difference in recoil and muzzle climb. You also get a total platform loaded out weight that is a good bit heavier in the .308 due to the ammo. That is worth a lb or so last I weighed them for the same amount of ammo. I only had 20 round mags for the .308 so that is what I went by. Obviously the more rounds, the better in favor of the 6.8. If you're gonna be carrying 7 or so mags, that adds up.
The 175gr ammo for the 16" barrel is worse. You just can't get the velocity for the 175s do make a difference, and even with the 168s you don't really win out overall.
Step down to a 155gr and there you will see a difference. That is a much better weight in a VLD or scenar bullet where you will get the velocity to make a difference with a higher BC to keep it moving. He standard 150gr loads start out pretty good, lots of energy and velocity, from 2600-2650fps, but die out real fast past 400 yards.
The 110s are around 2850fps, but don't have the weight behind them or the BC to push high energy numbers to make the recoil and muzzle rise of the .308 in a short barrel worth it to me.
I was in the process of switching to 155gr VLD type bullets entirely with mine, even though it was accurate with the 168s and 175s. It was the best solution. Less muzzle flip, quicker follow ups, better long range performance and great short to medium as well. Less weight in the mags too.
I switched over to the 6.8 because of a shoulder injury, not my firing shoulder either. But with the weight of that loaded up DPMS it was difficult with a bad shoulder to be consistent, and sometimes tough to get the gun up on target. The 6.8 solved that for me, and I didn't lose much in the energy department compared to the same barrel length. I went over the 6.8 and the 6.5G for over a year before I decided what route to take.
Now had my .308 been a light weight one like you have, I may never have made the switch. It's likely I wouldn't have since I had tons of brass, powder, primer, loaded ammo, projectiles, and factory and military ammo. A good brake would have made a difference as well but I wanted the flash hider more as this was my HD weapon and hunting was secondary.
If I buy another .308 it will be either 18" or 20", the 18" will sort of get you over the hump, but the 20" is better.
I'd love to have a light weight .308, but it won't replace the 6.8, it'll just be something else to have a blast with and something else to spend money on.
I just wanted to comment here to clear some things up. I'm sure it's a fine rifle, and will serve you well. I like all calibers pretty much, except some of the dinky Euro pistol ones. I'd like to have guns in just about any caliber.