New York - JFK
Terminal 4
Is there any immigration/security fast lane:
Outbound: yes
All the way to the right of security is the business/first/PreCheck lane. SkyPriority lets you in too. It's a shortcut to the regular lane so you do end up with the 'normal' public if you don't have PreCheck.
If you go via the Delta SkyPriority check-in area, the priority lane is the first one on the right.