Well, there is not much to teardown other than showing 2 internal pictures, then ask a few questions and ideas.
As it stands now, a tek p5205 differential probe (100MHz, 1000V, 50X-500X) in working order may cost several hundred dollars even in the second hand market. The 1103 probe power supply will cost a additional several hundred dollars.
The alternative for someone with low budget is to get the ones that occasionally pops up on eBay that had all cables cut and without any accessories. But, it can go about $30~$50 a piece, or may be even lower.
I opened one of such p5205. It looks like it used all off-the-shelf parts. The design also looked simple in contrast to the high original cost. I guess, the cost went into the professional design and the professional specs.
To reconnect the necessary wires, I tried to find the schematics, but, I failed on it. It will be nice if someone can share the schematics. Otherwise, I will continue to understand the wiring from the PCB, do some testing and hopefully not to damage anything.

Edit: bottom picture added.

The back side of the PCB is not very interesting. The 1st picture is the upper side of the PCB. The HV wiring (left side) and the coax wring on the LV (right) side are simple to redo.
The thin Black, Blue, Red and Brown wires are my concerns. I have identified that the Black and Blue wires are the -+15V main power supplies. When the -+15V are on, I can hear a brief beep and LED flash.
More importantly, when one of the HV wire was touched, the LV coax showed the usual distorted mains waveform. This says that the device should be still functional.
Currently I am trying to understand the roll of the Red and Brown wires. According to the instruction manual, it is likely related to input of the offset adjustment voltage. But, why two wires. Anyone know the answer?
The official power supply 1103 also supplies +-5V. But they are not likely used in p5205 since p5205 have circuitry to split/convert the +-15V supplies to a pair of +-5V supplies.
I am also thinking to reduce the attenuation from 50x-500x to 10x-100x since I am really just interested in the differential capability, not the HV capability. Any suggestions?
As to the +-15V power supply, is switch mode supply good enough?
The 2nd picture is with the HV side wired with the wires taken from a old CRT monitor.