To the OP, You will never find a CJ exactly the way you want it.
If you find something close to your wish, And if it's done properly,
Your going to pay for it.
What kind of budget are you looking to spend ?
If you have the extra money to spend:
Look for a CJ7.
One with a V8 "Factory or Engine swap.
DON'T FORGET IT HAS TO BE SMOG LEGAL IN CA
One that has had the axles upgraded to 9", D44, D60, 14 bolt.
Stay away from the super 30's, Junk upgraded AMC 20's and the 8.8 abortions.
They are okay for the stock to lightly modified, But not worth the Money.
Make sure you get a trans that is able to hold up to the power, torque and abuse.
No SR4, T4, T5 transmissions. A t176 will not last long either.
Almost all properly built automatics will hold up fine.
SOA........ They are outstanding performers and flex great, But they must be done correctly.
99% of SOA's are NOT done right & Dangerous !
The steering must be a high clearance / cross over design.
There's no problem running 37"s SOA, But you might want to consider some 35's which can be run with a RE 4.5 kit, a 1"bl and 1/2" shackles. It's an excellent combo.
If your the money tight want to do it as cheap as you can type:
Look for a 1976 - 1979 CJ7 with a factory 304, T-18A, Dana 20 as a base for your search.
Upgraded axles and the 4.5 lift combo is the way to go.
There are many things to look for, pass on or think about for CA.
Is it smog legal ?
Is it rusted, or rust free ?
Frame cracks/repairs ?
A couple big things to think about.
Also, If you see multiple Mickey Mouse things within the first minuet of looking at a CJ,
Pass on it, Because everything else will be the same way.
While most of the posters on here do a good job answering somewhat correctly,
A lot of the others don't have a clue, and just give you a wealth of bad information.
And then you have a hand full of the pro's that will give you excellent and correct info.
Good luck with the search