I've never had a J&T "match" or bull barrel, but the standard 20" A2 Hbar barrel (Shaw, I think) I had easily shoots MOA (traded it to my brother)... with the standard handguards even, not free floating. You'll find ARs in general (regardless of manufacturer) are very accurate guns. I also have a 16" J&T with open sights that I KNOW shoots better than I do.
The trick is to find ammo (or if you reload, a decent load) that your gun likes. Mines shot great with Federal American Eagle or Win Q3131A. It shot OK with Fed XM193 (Lake City) also. Mine had a 1/9 twist and it shot great with 55 or 62 gr bullets. With your 1/8 I bet you could go heavier and get decent results.
As a side note, I always like to keep my barrels clean of copper... they shoot a lot better clean.
Shal1