Must be US citizen to have Global Entry. Global Entry is to ENTER the US Passport Control (Immigration).
The line at JFK was about 100 people when I came back from Valencia on Tuesday @ 5:30 pm. Took me about 20 seconds at the GE kiosk. $100 for 5 yrs (reimbursed if you have Platinum American Express) Plenty of time to enjoy the SkyClub before 8:30 flight home.