Hello and thanks for using Just Answer.I will try my best to help you with your question.
You really cannot disable the remote keyless entry. It is better to have it fixed then disable it. The only way to disable it is to unplug the drivers door module in the drivers door. Then you will no longer have power door locks or any memory functions for the seat or mirrors.
The best thing to do is repair the cause of the problem. We can help you do that. You will need to get any codes from the Drivers door module and also the Lighting Control Module. Any repair shop and also the dealership can get the codes for you. A parts store can if they have the proper scan tool that can communicate with these modules. A simple code reader will not perform these functions.
You can stop by any auto parts store and have them check for any codes in the ECU (Engine Computer) Even though the check engine light is not on, you can still have codes in the ECU. They will check the system for free. Just check for codes and post them on this page.
Also if the fuel pump relay was replaced and the problem has not returned, you may be looking a fuel pump concern. The fuel pump electric pump motor may be heating up and causing the relay to fail causing the no start. The anti theft will not cause your problem. It interrupts the starter circuit, not the fuel pump circuit.
The relay sends power to the fuel pump motor when the key is turned on. If the fuel pump motor requires more power, it will heat the circuit up and also heat the relay up causing the relay to open stopping flow to the fuel pump. Over time, this will burn the contacts in the fuel pump relay and cause intermittent stalls.
Next time the vehicle will not start, but will crank over, check for fuel pressure in the fuel lines. It should be a large spray of fuel when you push the test port valve on the fuel rails for the injectors. Not a dribble.
Lets see if we can find the problem before you replace any more parts.