They fly pretty high and the antenna points towards the sky not the ground, and yes they do use specialised antennas. You'd much easier find a predator using radar.
Watch some of the videos on youtube, it's quite interesting. You can see that the predator is able to target and track automatically so the pilot basically just has to hit the button to fire the weapons and a hit is almost guaranteed. No need to have good reflexes or low latency. The pilots are in Nevada so the best case scenario is probably 100ms pings anyway.
