after the jeep sets awhile
take the carb breather top off, have a buddy pump the carb a few times,
see if you have gas being pumped into the carb.
if not, your gas may be leaking back into the tank and the pump is having to pump the fuel back up to carb before you have fuel to start the engine,
I have the one in/two out fuel filter on my 1984 jeep, if you position the outside out, outlet at any position other than 12:00 high, the system will syphon fuel out of the carb and send it back to the tank.
after setting for awhile, the motor will be hard to start until fuel is pumped back into the carb.
you may not have this system.
do you have a hot coil, new plugs, good wires
if you have gas, spark and compression, the motor should be trying to start as it turns over.
even a motor out of time will try to start.
I understand yours is just turning over and over with no start.
I would check the lack of fuel first.
after your next trip, as soon as you stop driving the jeep, get out and take off the gas tank cap, listen for a whish sound, the tank cap may no longer be vented (stopped up) and is building up a vacuum.
this built up vacuum is sucking your gas out of carb back to the tank after you stop driving??????
just fishing here, but we have nothing better at this time. this happens sometimes on old farm tractors with vented tank caps, the vac in the tank gets so strong gas will no long flow to the carb. (they do not have fuel pumps) so they just stop running as they are out of gas to carb.
your fuel pump may be able to pull fuel to the motor, but after you cut the motor off, the fuel may be pulled back to the tank???????????
keep looking and let us know what you find.
be sure as you are turning over the motor that you have fire to the plugs?