Hmm- one thought here is that if you put a 10K resistor between the backup battery and the D-180 "EB" input, this shouldn't affect the accuracy of the voltage measurement, but we also wouldn't be able to run off the EB.
We only draw nanoamps off the EB to measure the voltage until we go to use it- so the 10K won't mess with the normal voltage measurement, but the instant the D-180 went to use it, the 10K would drop so much voltage, we'd either turn off, or switch away from it.
This is theory at this point- I haven't tried this myself, but looking at the schematics, it should work fine, and it won't hurt the unit for sure. Give it a shot if you want, and it may save you a second gauge.