[1985 CCX]

There are upgraded "Thicker thus stiffer" bars available. Keep in mind a Jag cast iron straight six and all the regalia that goes along with it is heavier than a Cobra with FE. Ride height is set by bar torsion, so if it is an optiuon get thicker bars.

The Jag depending on whether it be 2+2 or OTS weighs 2800lbs to 3100lbs, FE CCX is around 500+lbs lighter overall.

Cast FE with Cast heads 600lbs with some ally parts
Jaguar 6 cylinder is about 75lbs more if my web search went right.

Of course aluminum heads and assorted parts help both.

Have fun....