Your SYSTEM VOLTAGE is fluctuating. What sort of VOLTAGE REGULATOR do you run? Do you have a voltage gauge, instead of that damned 19th century ammeter monitoring your voltage output? If you still are running that ultra-primitive "regulator" for your instruments, an electro-mechanical breaker which continuously opens and closes to produce an AVERAGE approximating 5VDC, then know that if system voltage rises, the regulator will pulse that entire system voltage to the fuel and engine temperature sending units, both of which being simple variable resistors, will react to that pulse, averaging it's EFFECT.
The original system regulator likewise is a thermo-electric breaker, doing exactly the same thing: opening when a little resistor heats up enough and expands, thus interrupting current flow. The resistor then cools, contracts, and re-establishes the circuit, until it can't. For 30A alternators which had only headlamps and a heater motor to turn while running windshield wipers, this proved problematic, which is why by 1972 Mopar supplied a transistor (BJT) driven system regulator, though the instrument regulator would languish for more than a decade in development. Depending on the degree to which you're restoring this car, you might well have old style electro mech regulating all your circuitry.
You can obtain a solid state, MOSFET driven power supply for those instruments which will supply a steady state, flat 5VDC, regardless of whether your alternator produces 11.5 or 15 VDC. Install THAT behind your instrument panel and cruise knowing your instruments now get clean voltage to assess your vehicular condition with grreater precision.
My fuel gauge also varies depending on the vehicle's level w.r.t. the horizontal. I'm unwilling to install a modern sending unit, and live with the result, always filling the tank any time that needle touches "E" which experience has taught me with this tank and sending unit, does NOT MEAN "ENUFF!"
DON'T FUCKUP THE FUSEBOX WITH SOME COTS* generic replacement. Those old glass fuses were actually designed to a tighter specification than the modern ones. You can even pug circuit breakers into the 1.25" x 0.25" fuse receptacles. I have a Better Bypass for feeding the fusebox from the battery, eliminating the alternator charge loop from going into the passenger compartment AT ALL, enhancing safety, but again, some purists shrink in "HORROR!" from the notion of breaking Sacred Tradition.... Another thread.
*Consumer Off The Shelf