My car also had the K40 radar detector that was installed by the dealer at the time of original purchase. Back in the day, it was a good detector but now is pretty much worthless.
I removed my K40 from mine and it was quite a job. The system is composed of two detectors (one in front and one in rear). The controller is actually located within the actual knob that you turn the system on/off with.
Upon removing the system, I could not see how any modern systems can simply "hook-up" to the existing wiring. Not sure what your display looks like, but mine only had three LEDs which is again of limited use.
The only system that I could think of that "might" piggy back on the existing wiring passing through the firewall is the Escort Qi45 system. I believe that it uses a RJ-11 4-wire setup and that should be able to spliced into the wiring harness of the front detector. Again, not sure on this so you probably want to look at the Escort schematics first.
Personally, after removing the K40, I simply use a Valentine1.