[mention]smithers599[/mention] - not sure if you've resolved this or not... If not - there is a pretty good bit of knowledge on the topic at the 308AR board (https://forum.308ar.com/) and some of the very active guys live in AZ. I've learned a bunch there. Some of the "experts" can be a bit salty if you ask a question before reading the common stuff or ask a question for which there is a standard answer and then fight with them about the answer before trying their suggestion.
My sense is that a healthy majority of AR10 / AR308 issues fall into one of a few categories
1) Parts compatibility issues (no "milspec" for all manufacturers to follow) - if your issues stem from this - you either need to be a machinist - or replace parts.
2) Under / over gassed conditions associated with mismatched and non-adjustable parts
3) Buffer spring / buffer weight mismatch issues often associated with using stock AR-15 carbine buffer stuff behind a much heavier bolt and a mismatched gas system.
I just finished my FIRST AR10 build - so I'm no expert - but with a bit of guidance from the guys on that other board - it just took some minor adjustments to get it cycling nicely last weekend.
Your "doesn't feed / doesn't extract" sounds like it COULD just be undergassed or over springed / over buffered?
The light primer strikes are a different thing. Is the back end of the barrel extension flush with the back edge of the spot in the upper receiver where it sits - or does it sit proud into the area (talking about the interface seen in the red mark in this pic stolen from the interwebs)?.. Any chance you have a headspace gauge for .308?
Again - I'm no gunsmith - but if folks want a ton of money to look at it - I'd be happy to try to troubleshoot with you. It could be a moneypit nightmare... it could also be something that a gas block adjustment or spring / buffer swap resolves...