They don't issue CBP stickers anymore.
I use JFK T8 (AA) when I return from an intl. trip. After receiving your "non-X" GE slip, you proceed to baggage area (if you have any), then head for the customs agent. There is a sign on a stand: "GLOBAL ENTRY EXIT", this lets you bypass any "others"
waiting to see an agent.
Yup they send you to the same queue as connecting pax - was a god send yesterday when I came on AA101, insane lines to get thru customs. Got some nasty looks as I went to the front of the queue :-)