Yes, any car alarm equipped with "starter kill" or "starter disable" will make it impossible to start your vehicle until the system is disarmed with your remote or the vehicle key.
Valet mode disables the alarm, if you want starter kill do not disable the alarm.
It is possible that it can burn out the solenoid, yes.
Install a remote starter, this will disable the passcode security to the ignition.
To disable a kill switch the wiring would have to be modified to bypass the switch. This is not advisable as the switch is a safety feature.
A kill switch is used to disable the motor of a jet-ski if the rider falls off.
it disables the starter and the fuel injectors
If it is installed incorrectly and causes the starter to be engaged continuously/always running it would kill the starter fairly quickly.
What does a remote starter have to do with the wipers? Just turn them off when stopping the car, and then when you use the remote starter, the next time, the wipers will not come on. If the wipers are not on then they will not work, no matter if you are using a remote starter or not.
He/She would disable the opponent and kill or spare Him/Her. Timothy A. Moore
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Is it possible that the Jeep is a Laredo with an alarm. My jeep did the same thing after I installed a new starter. What I had to do was close the driver side door, lock it, and then unlock it to disable the alarm. Hope this helps.