Ok, my Mark II 308 compact has a muzzle diameter of .517", and diameter at the forend tip is only .682". This is a wing safety model I purchased used for a good price because I think the original owner couldn't get it to shoot accurately. In the sale I received his partial box of 150gr Rem UMC fmjs, best 100yd group I could get with these was 4.25" for 3 shots. I had another box of 180 gr sp Remington and these did 3.5-4". I had loaded 308s in the past for a friend (this is my first 308) using Nosler 150gr Ballistic Tips and Hodgdon Varget. His old Remington 700 loved these and would shoot .5- .75" for 3 at 100yds. I loaded some up, cleaned the rifle barrel well, keep in mind it only had 40 rds downrange at this time, checked the action screws and went to the pit. Results were 1.25" for 3 shots average with 1 group cutting just under an inch. I had thoughts of selling the rifle, there was a couple months time in between these experiments, but am sure glad I kept it. I bought mine because I fell in love with my buddy's 7mm-08 on a Canadian whitetail hunt, and this one turned up shortly after. His gun has always been shot with Winchester Supreme 140gr Ballistic Silvertips, and these do 1.5-2" in his gun.
It's the handiest bolt gun I own, a joy to carry tracking whitetails all day, plenty of power, and now a fine shooter. Bottom line, they are good, accurate rifles. If you are a reloader you can get them to shoot well. If not you may spend some time and money to find the right factory load for your gun, but shooting something loaded with Ballistic tips would be a good place to start. Hope this helps.