In West texas we use 22 mags and head shoot turkey. The 22 Hornet should do great, its almost overkill. And this from a guy who has shot them with 270's, 308's, 7 mags, 223's, 243's 357 magnums, 41 magnums and 45 long colts.
Only point of aim difference I suggest is you aim for the leg joint aka the hip. Don't know about your turkeys but in WTexas the leg of a turkey is only slightly less tough than Jack rabbit meat. We shoot them in the hip and avoid damaging the breats meat.
Or, wait until they are head on (back on, too) and shoot them between the shoulder blades just below the base of the neck. Puts your shot between the breasts.