OH! Sorry I shouldn't have done a speed-read. I get it. They look secure to me! So basically predators have to make it through your free range fencing AND THEN also your run? That's really good. I think you're plenty day time predator proof and if you locked them up at night, you'd certainly...
Is that just a tarp on top? If so then this is sufficient for keeping flying predators out and maybe dogs. Unfortunately, my predator list would stop there as a racoon can climb and get under the tarp. Small digging things especially rats can dig in, etc. But do you lock them in the coop house...