2002 Jeep Liberty 3.7 4WD not starting or cranking

I've had this jeep for two years now and
I've had this issue most of the time. It will
start fine after it's sat overnight, but for
example If I drive 10 minutes to work and
they tell me to go home an hour later, i
can't start it for another hour later, it
usually takes 2-2 1/2 hours to turn back
on. It doesn't crank, but the electronics
come on fine. I've replaced the battery
twice, the altinator, the starter, the starter
relay, the ignition switch and actuator. I do
not know what to do about this problem
and I desperately need help. It appears to
have some sort of "cool down" because in
the summer it takes longer and in the
winter it's shorter.