I figured it out (remember, I just got this game.)
I forbade the door, (from being used in construction) not the USE of the door. Also I should have taken adult males because it's possible the hens matured while the gobblers were still immature so the first eggs weren't fertilized. It's also possible that they cant ley eggs when the claimed nest box has eggs in it. Also forbidding the box from the dwarves might also bug it out and make them unable to lay eggs or even hatch.
I did a test and let it run with only the use of the door forbidden while I fucked off and eventually it worked.
I also learned that locking 8 turkeys up in a 6x6 room can lead to some nasty fighting. there was blood and vomit on the floor and the gobbler even attacked one of the poults.

Also I realized you can bring next boxes as embark items so you can set this up day one.

Since I'm bothering to post all this, I have one more question. Does grazing inside with fungus after cavern breach have the same requirements as unirrigated indoor farming? Can you grow grazable fungus on stone like you can plump helmets and shit? I really like having one resource for meat, cloth, leather and milk. I think if they made a good sheep sim game I'd play that instead.