I have all the above critters you mentioned and more. The wild turkeys just trample over everything and eat all the bugs. I was infested with leaf hoppers, but they are all gone now, but so are my lady bugs, soldier beetles and praying mantis. I do have problems with the turkeys digging up freshly planted irises. Then they do a dust bath and crush and mangle the rhizomes. The squirrels also attack freshly planted rhizomes. They like to dig them up, or dig under them. Last season I had some freshly planted rhizomes disappear. Gophers and voles love to eat rhizomes, but their damages can go unnoticed until it's too late. Death from below...so unfair! Moles only eat worms, but the voles use their tunnels. Last season I had a problem with the deer and rabbits eating all the leaves off of my irises in Spring. They ate them to the ground! This year it has not been a problem, but some flowers were nibbled off. Wild pigs also love to eat iris rhizomes. Thankfully I have not had to deal with them (knock on wood!).
The other critters leave the irises alone, they just trample over them.