This was almost a doddle. Turns out the bridge wasn’t an exact match with the Stratocaster pickguard but a few minutes with a straightedge file solved that.
That’s rock solid now. The Kahler’s quite an impressive piece of kit, very easy to adjust and highly configurable to set string height, spacing and intonation. Next step, fitting the GK pickup, restring, set the neck relief, action, intonation and GK height.