Here's some information on anti-roll bars.
I have some original drawings dated October 10 1962 from Shelby American Inc. The drawings show the installation of the Cobra Competition anti-roll bar kit. The kit was installed on BEX375 by my father. It involves welding bracket to the frame and lower control arms. As far as I can tell, early Cobra's and Ace's can use the same bars, links and brackets.
Depending on your use, it may or may not produce the desired results. In addition to reducing roll, the bars increase the spring rates leading to a rougher road ride. They are good for track use. I took them off after putting the Ace back on public roads.
The Shelby bars change the balance making the car more prone to oversteer. The front bar is 3/4" in diameter and rear is 11/16" in diameter. The thicker front bar reduces roll and improves grip in the front compared to the rear. While a 1/16" may not seem like much, stiffness is proportional to the diameter cubed so the front bar is 30% stiffer than the rear. The car is well balanced without the bars so a 1/16" difference may be too much. I have a few action shots of my father spinning the Ace!!
If you like, I can send digital files of the drawings, but they have faded and somewhat difficult to read. I can also send specifications of the bars and links. I would need you e-mail address.
Regards
Peter