I still think the capacitor coupling will work as long as you use an AC signal to modulate the Z-axis. Putting a DC level-shifter into the circuit that needs to isolate 1000 volts is going to require some very careful design. From what I can see, the time-constant for the Z-axis is pretty long (around 100msec ??), and it's very likely whatever you are displaying is much faster, so DC coupling isn't needed.
An op-amp circuit driven from TTL-level can easily translate from 0-to-5volts to -10 to +10 volts (20V p-p per above target), for example, and that can hook directly to the Z axis jack. Basically, a gain of 4, with an offset of 2.5V if your TTL-level swing the full 0-to-5, though 7400 series TTL devices typically drive out 4V, so a gain of 5 and an offset of 2.0V. LTspice is a good way to simulate your design before building it. The nice thing about inverting OPamps is that the (-) input is already a summing point, so adding the offset is trivial.
Thinking about it more, you might not even need an offset. It functions the same as a contrast control, though I dont see such a control on the schematic. Having adjustable offset wont hurt if you dont need it, but not having it if you do need it means another round of circuit changes.