Success!
The angle is extremely strong a rigid - amazing stuff, Carbon Fiber.
The line that is the edge of the padding is where I will be cutting, so a smooth and uniform piece will be the end result.... I hope.
I am going to try to use the Dremel and a router bit to see if it will cut cleanly, if not I will borrow a full-size router and the bit so that I can cut it down this weekend.
I think that I will try to cut the pieces to the exact size that I need for the rest of the braces. This will save a lot of time and effort, and possibly yield a nice clean edge....