Hi
As with all things, particularly Tektronix, are all the internal power supply output voltages and ripple level correct?
Now if as you say the cathode voltage is sitting at about -1kV and so is the control grid (G1)the CRT will be operating at maximum intensity, which I believe it is. A word of warning, you can easily get screen burn or cathode stripping under these conditions. What you need is for the control grid to be more negative by say -40V to say -75V relative to the cathode so as to bias the CRT off.
From years of experience I distrust high voltage probes unless they have been calibrated with the readout meter. This may appear to be a strange comment in today’s digital world, but your best friend when trying to find a fault around the gun circuitry of a CRT is something like an AVO 8. On its 2.5kV or 3kV range it has a very high input resistance and is very well insulated, just do not touch it or the probes when using it when measuring some 2kV.
The incorrect -1.8kV supply to the cathode is the prime problem to look at first. There is an over wind on the main inverter transformer that appears at point 11 of the High Voltage and CRT schematic. This AC voltage is then rectified by the first stage of the eight stage Cockcroft and Walton voltage multiplier contained in U975. The output DC is then filtered by C975, C978, C979 and R976, R978, check these components, in particular the capacitors for breakdown/leakage.
Ignore 10.8kV the EHT/PDA output of U975 for now UNLESS there is evidence that loading on this output is effecting the 1.8kV supply (usually resulting in audible effects or visible sparking). Regrettably the most common cause of problems with Tektronix scopes is the voltage multiplier U975, in your case, suffering from an internal high voltage breakdown.
An internal short in the CRT is highly unlikely, but not impossible.
Hope this helps
G Edmonds