If you key up the entire system when the antenna is removed and it is connected to a dummy load, do you still have a problem?
If not, the antenna is causing the problem so try relocating the antenna and see if you can reduce the magnetic fields the sensor is coupling with.
If so, then the problem could be conducted or coax radiation.
Test the CB and amplifier with a short section of coax at the amplifiers output.
If the problem is still there, the problem is considered conducted, even though the power leads may be radiating electromagnetic fields and coupling into other circuits. Try running the power and ground leads, twisted togther using tie wraps to hold the twist, directly to the engine compartment. Connect the (+) lead directly to the battery's (+) terminal and connect the (-) lead to the engine block - this connection point will already have the alternator and battery (-) connected to it. The reason for the (-) lead connection at the engine block vice the battery's (-) terminal is because all of the engine sensors and alternator use this a the reference connection. Also, check and make sure the engines computer which is typically connected to the tub, has a good braid wire connection to the engine block as well. (1,405,200 miles!!!! Wow, the sensor could be bad...)
If the problem went away, the coax is radiating and additional grounding at the antenna with braid wire may help, or the coax will need to be re-routed so it doesn't couple into the sensor that is causing the problem.