Cuda,
The problem with this rig is that the length of the actuating lever arm has been reduced to about 25% of what it was with the original set up. The path of the pull cable is about 3/4" above the brake arm pivots, while the straddle cable, attached to the ends of the brake arms, would yield an effective lever arm length of approximately 3 inches. You've created a sort of V-brake with very short brake arms. I think that no matter what brake pads you use the braking force will be much less with respect to the force applied by your hands to the brake levers.
I hope this doesn't come off as critical. You've worked out a very clever assembly and I applaud your improvisation!
Regards,
Bob P.