I'd try another battery or a jump-- you may have corrected the original cable problem, but not an accessory drain from something like a malfunctioning radio.
battery does not have enough charge to activate/trip the solinoid.
put the battery on a charger. after you get it started with a fresh charge on the battery, you need to see if the alternator is charging the battery. with the jeep running, put a meter on the battery.
Your battery connection has quit again, OR when the cable disconnected it wiped out the alt (did you check the belt? Are you maybe missing the harmonic balancer?)
not to say anything but can you turn the motor over at all from the harmonic balancer? any problems the day before? not sure of your circumstances. just want to rule that out of the equation...