Basically, I don't believe you. Btw kindof odd chip choice pretty sure that cant direction find/doesn't share a band with the drone control/jamming?
Thats not going to home particularly well
It's not the best chip, but it's something I've used, that has the right capabilities, and that's very easy (and cheap) to buy in bulk.
It absolutely does share a band. WiFi, which is what the ESP8266 is built for, sits on 2.4GHz just as commercial quadcopter receivers do.
One way to set it up would be "if you lose contact with the transmitter for more than x seconds and return to base mode is set to anti-jamming, obey yaw and pitch commands from serial". The ESP8266s could be used in sets, for example one per limb of the quad slaved to one lead controller (which could be the actual RX if you're willing to flash new firmware to the quad itself, dunno how much customisation is done on them). Each has an antenna positioned such that it receives from partially overlapping cones and is otherwise shielded. Calculate yaw and pitch toward strongest signal, and tell the quadcopter controller over serial. You would want the quad to first rotate such that the jammer is in front of the quad, on the edges of two cones, and from there it's just a matter of rocking back and forth as you dive towards the target. When left front receives stronger, yaw left. When right front receives stronger, yaw right. Thinking about it you'd also want one wide cone on the bottom, to direct your pitch.
This approach would be easily misled if multiple sources of jamming are present yet spread far apart, it would dive towards a spot on the ground between them. But from the drone videos I've seen, soldiers seem to stay together.