Here is the parts list from this install:
D: RAM Mount Short Length Dual 1.5 inch Socket Arm
Model: RAM-201U-B SKU:RAM201B
F: RAM Mount Rectangular AMPS Plate with 1.5 inch Ball
Model: RAM-347U SKU:RAM347
C: RAM Mount Rectangular 1.5 x 3 inch Plate with 1.5 inch Ball
Model: RAM-202U-153 SKU:RAM202-153
B: RAM Mount Long Length Dual 1.5 inch Socket Arm
Model: RAM-201U-D SKU:RAM201D
A: RAM Mount Universal Vehicle Mount Plate RAM-316-3-202U
Model: RAM-316-3-202U SKU:RAM316-3202
E: RAM Mount Multi Strap Base with 1.5 inch Ball
Model: RAM-108BU SKU:RAM108B
This system uses 1 1/2" (size C) balls/sockets rated to hold 10 pounds. Depending on what you want to mount, you might be able to use the 1" (size B) system that is rated to hold 5 pounds.
The Universal Vehicle Mount Plate is centerpiece of the system...the base that attaches to the seat mount bolts. The feet are cast and because of the design of the Wrangler seat brackets, do not sit flush on two of the brackets...so I put a couple of washers in the space between the bracket and mount foot so I could torque the bolts back down and not break the feet. This particular part number comes with a medium length arm with 1 1/2" balls and base. You can also buy it without the arm if you wanted to build a B-sized ball mount. I ended up not using the medium length arm.
Long arm that the radio is mounted on.
Plate that the radio bracket is bolted to.
Short arm holding the mic
Strap base holding the short arm to the long arm
Plate to which the mic holder is mounted.
If you can get away with it, I would recommend the less bulky (and cheaper) B-sized system. MY GPS is mounted to a B-ball arm that was already bolted to the radio bracket when it was removed from my '03 Rubcon, so that part is not listed above. To build a B system, you would just need to get part A without the C-ball and arm.
OK...now after posting all this, I have discovered that RAM makes a base plate specifically designed for the Wrangler (RAM-VB-170-SW1), similar to what I have in my Tundra. I did not initially see it because I searched for a 2012 or 2013 Wrangler mount...it shows up as a 2010 mount which I assume would work. I may end up changing my entire system out...or not. The Wrangler mount part number is for the entire laptop mount...I would just get the base component and pole separately...much cheaper. They also make a huge number of simpler, single stalk mounts to hold smaller items like gps units, smaller radios, phones, etc. My current system would be overkill for most applications.