It's bound to be the crank angle sensor. The sensor position at the top of the engine makes it susceptible to heat. It deteriorates over time and then fails when hot stopping the car from starting.

A test is to drive it and park it so you can turn the engine over without starting (think bump starting the car with the key in off) then try to start as normal. So, drive, park the car, car won't start, you then bump the engine over as described above, and it then starts. If it starts after the above procedure then it's almost guaranteed to be the crank angle sensor intermittent failure.

Had the issue in an NA Liberty. The sensor costs a fortune ... Was $300 odd a decade odd ago.

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[COLOR=Black]Liberty GT Spec B tuned 240 HP & 372 Nm at the hubs.[/COLOR] "Instead of banning high performance cars - ban low performance drivers"