If the helmets are anything to go by, the weight of bonded kevlar thick enough to have that sort of property is probably not much less than a metallic armour(?)
No doubt thin, hard armour skins over bonded kevlar etc. has already been tried.
Bonded cloths are certainly much simpler and cheaper to work with than metals though: no need for massive hydraulic presses or CNC mills. Somewhat analogous to the Mosquito in WWII Heavy Press Program - Wikipedia
For all its apparent complexity that geodesic framing was actually quite simple mechanically, and IIRC of a very limited number of different parts.