Thinking about it, if you really want to improve the braking performance, you're probably best replacing those brake calipers. AIUI the CX Experts are single piston mechanical disc brakes, which means that when you pull the lever the left side move inwards pushing against the rotor, and effectively bending it to push it into contact with the right hand disc pad.
TRP Spyres or Rever MCX would both be excellent replacements which are dual piston design - meaning the pads push against the rotor from both sides simultaneously - giving more immediate feedback and much better control and overall power.
