It should be noted that turning, climbing, and running aren't terribly important if the other guy can't find you, target you, or shoot at you.
Exactly. The F35 will be fine as long as we assume that our adversaries are completely incapable of innovation. The Chinese would certainly never think to stick a $5 optical camera and an ANN in the nose of a SAM and track using visible light.
What would the range on that shit be? With the human eye it would probably be a couple miles, the distance of the horizon is probably a theoretical maximum, but that depends largely on your elevation (at sea level it's 2.9 miles), but let's say that we're at 50k ft, which seems to be the service ceiling. That's 15,240 metres. Wiki's formula is d km= 3.57h m, so 441 or so km. So that works. You got a visual sensor that can tell a 10m by 16m triangle-shaped thing at 441 km from a seagull's tail at 350 km? They're all the same color (gray), on a background which is probably grayish clouds, estimating range with visuals is a huge pain in the ass, etc. I'll gladly agree that the whole F-35 plan is stupid. If your missile shoots off after the seagull it'll but rocket fuel at the rate you usually burn rocket fuel at, and by the time it figures out "shit I'm going for a seagull's ass" you're never gonna get it back.
The point with that isn't that it's impossible they'll figure out a way top track the fucker down. Human ingenuity being what it is, somebody will pull that shit off eventually. The point is that getting that shit to scale to the point you can actually use that militarily is a huge fucking pain-in-the-ass, and not likely to happen for awhile. First-gen Stealth, for example, got cracked pretty much as soon as we invented it, yet in 25 years of service precisely one guy pulled it off in combat.
Moreover, you're missing the best part of the program: we're getting thousands of them (680 Navy and Marines, and 1,763 for the Air Force). That's less planescombat aircraft then every country in the world except China and the Russians. So I will not be surporised if 30 years from now the Chinese have enough toys to deal with a couple hundred F-35s, and the Russians enough to deal with a dozen or two, but 2,443? Hell fucking no.