I do not reload (yet but am looking forward to a time when I can afford the equipment), but in order to futher my knowledge on the matter, I bought the CCI/Speer reloading manual for rifles/pistols. In their discussions on primers it states that there are quite often issues with .308 (7.62x51) & .223 (5.56x45) in semi-automatic military style rifles. They suggest using primers specifically made for these calibers, in the case of .223/5.56 they suggest the use of their Speer No. 41 primer for 5.56mm or .30 Carbine calibers (or their Speer No. 34 primer for 7.62 NATO & 30.06). This is in order to deal with sensitivity issues with firing pins in these types of weapons, also reducing the instance/chance of slam-fires as well.
Just what I've read, I have no experience in these matters, and soon hope to get into reloading around this Christmas break (when I'll have more $$ for these things). I hope this info is of some use to you. If not, oh well, I tried, perhaps sleepy or someone else knows a lot more about the issue.
Take this advice with a BLOCK of salt, not a grain.