Huh , interesting , had to do some googling . Didn’t know Jeep offered half doors as an option on the JK’s .
As to your question , did some googling . Your current half door only has 2 pins . So 2 wires . The full door with power windows & locks has 10 pin plugs with 10 wires .
Around 2011 it changed again with heated mirrors . So that would mean more wiring . This link contains a discussion about it . Another Jeeper asking the exact same question . Unfortunately doesn’t look promising as your Jeep doesn’t contain the necessary wires from the PCM. Anyways it’s all in the discussion . Good luck & welcome to the forum