Hi Libby. I'd be inclined to move the feeders a bit closer to trees or bushes to allow the feeding birds a refuge area. Sparrowhawks will still dive into trees and bushes but it will give the Woodys a fighting chance.
Thank you - I will move them right now. I know the hawks have to eat and that woodpeckers are partial to some rather unsavory habits themselves but I suspect we have altered the balance a bit. Thank you.
Ive put some photos of the woodys on the photo section. First time so I hope I've done it correctly!