Thanks @Gaurav
It is a 3.3l V6, and being used mostly by my wife now. It has been like this from the beginning, and in fact even the test vehicle we rode 3 years ago before buying our car was similarly slow to cool.
Due to the nature of my work before which was going to office early and returning late - I never noticed the difference. But after I bought my jeep, I could compare the difference in cooling speed.
I will check with Ampex as you have mentioned, since I never before asked anyone - even the dealer.
Do you think applying tint will help cool the car a bit faster?