Go through the post below and add up the invoice prices for all of your options. Many people have easily gotten their vehicles for 1% below that, with and without various club affiliations.
It SEEMS to me that your vehicle built the way you want would come to $35,373 invoice (with LSD). So $34,500 is already a good deal, unless I added something wrong. Be sure to do your own math.
A $500 deposit isn't a huge deal, mine was $1,000. Be sure they understand that you can walk away at ANY time for ANY reason and take your cash with you. Non-refundable deposits are illegal in most states.
To see if you have LSD, look at the window sticker or call Jeep customer service with the VIN handy. Or ... turn off traction control and stomp the throttle on a wet surface.