I removed some creeping fig vine that was taking over my wall. It’s pretty dry now. I want to know if I can use it along with logs of old and fresh cut oak and bottle brush as well as old punky branches.
I assume it's Ficus pumila? I have only grown it in containers, so I don't have first-hand experience with large amounts of it; but maybe my reply will bump your post back up to allow others to see it & respond.
I would think it would be okay, as long as it's dead/dry enough that it won't shoot out new root and stem growth. Also, making sure it's fully covered with soil and/or woodshould keep it from getting any light & it'll be less likely to start growing again.
In the past, I've used dead/dry grape vines in my hugels. I usually break or cut them into small pieces and stuff them in the gaps & spaces between the larger logs/sticks.
If it was me, I'd use it in a hugel. It looks like a good mass of organic matter just waiting to improve your soil 🙂