I was just thinking this also. It's rare to find turkey on a US menu except around the holidays. And it's even rarer to find rare turkey on the menu.
You see turkey on the occasional menu but it's more the exception than the rule. And I can't think of any fast food restaurants that feature turkey in any manner. A lot of chicken but no turkeys.
I haven't seen it overseas much if at all. But then again I try to eat the native food when traveling international and I don't think turkey is a staple item in too many countries. And I'm not sure why.
There used to be a restaurant down the street from my house in Nashua, NH called the Green Ridge Turkey Farm. They raised their own turkeys and served turkey in dozens of dishes 365 days a year. The place was quite popular year around.
Last time I was in Nashua I looked for it but saw that it had been torn down and a Barnes and Noble was standing in it's place.