Yes, separate coil of transformer with one-half rectifier and 78/337 regulators. It's like two small batteries on my circuit, right? Potentiometers of offset voltage and bias current adjustment refers to this supply.
In other words, the voltage drop on the isolation of the input circuit is perceived by the buffer as a input signal and gives to the output?
By the way, what can I make a multi-gigaohm resistor from? Two lengths of insulated wires intertwined? Or a piece of FR-4?
Correct.
First I was a bit confused what you meant by drift related to the input, to be clear, this is not drift - it is interaction of input bias current with input impedance.
This impedance consists of the resistive part and the capacitive part, the capacitive part will be charged by the bias current, so the output "drifts" - or better said settles - to the final value given by the resistive part.
As you already noticed, if the output hits the high voltage rails, the NFB does not persist.
This leads to a voltage difference of the op amp inputs and finally will be clamped either by protection circuit between the inputs or to the bootstrapped power supply rails.
When the protection kicks in, the input impedance will drop dramatically.
To protect the protection circuits from to high currents there is the need for current limiting the inputs, this is simply achieved by putting a suitable resistor at each input (most op amps are rated for 10mA absolute max).
If a specific resistor with specific properties is needed, I would recommend to buy one - up to 10G
are awailable for ~1EUR with not to shabby specs.