Here is some material, including some theory on how the fuel gauge circuit functions. Hopefully this will help with your troubleshooting...
The attached wiring schematic shows the fuel gauge circuit on the 1964 Corvair. This is a very basic circuit, with power coming from the fuse block via a 20 Gauge B/P (Black with Pink Stripe) wire to a connector on the fuel gauge. You should be able to measure 12V DC at this connector with a multimeter (with the key ON) with the other multimeter lead grounded. The other fuel gauge connector is a 20 Gauge T (Tan) wire that is routed to the fuel tank sending unit.
The sending unit must be properly grounded to function. When the tank is empty, the sending unit basically is at 0 ohms resistance, and full current flows through the gas gauge, giving an indication of Empty. As the fuel level rises, sending unit resistance increases, which reduces current flow and moves the needle toward Full. You should be able to ground the Tan wire at the fuel tank to obtain an Empty reading, and an open circuit (tank wire disconnected) should show a Full meter reading.
Note that the gauge itself must also be properly grounded for the "F Coil" (as it is referred to in the description) to be properly energized to pull the needle to the F mark. If the ground connection on the instrument panel is faulty, the "F Coil" will not be energized properly, and the gauge will not function properly.
You should use a multimeter to verify the presence of 12V DC at the gauge input. The resistance (ohm) setting on the multimeter can be used to ensure that the gauge housing itself is properly grounded to the car chassis. You should also be able to measure 12V DC at the fuel tank wire, with the other test lead grounded. If the voltage is missing there, you may have a broken or loose wire between the gauge and the fuel tank sending unit. (All voltage checks are done with the key ON)
If the voltage is present where it should be (at the gauge input and at the fuel tank sending unit wire connector), and if you have a good chassis ground at the gauge housing and at the fuel tank sending unit, there is a possibility that the gauge itself has failed. If you determine that the gauge is faulty, you may be able to get a used fuel gauge on eBay.
The schematic wiring diagram and the written description below explains how the fuel gauge circuit functions.
Left-click each image with your mouse to enlarge the image...

- 1964 Corvair Instrument Panel and Body Wiring Diagram

- 1964 Corvair Fuel Gauge Circuit

- 1964 Corvair Interior Wiring Diagram
There is a 14 gauge B/P wire that feeds a central junction point in the wiring harness that provides power from the fuse block to many points under the dashboard. It is supported by a single fuse in the fuse block. If you popped that fuse "everything might go dead". I would trace that down and recheck the fuse block. Do the headlights, horn, fan, etc. work? If some things work and others don't, you should be able to analyze the schematic diagram for each device that does not work, and find out what is common to all of the non-working items.
The thermister can be expensive and difficult to find (used). It is a variable resistor. The wire from the thermister is not part of the main harness you replaced. It is a separate wire that is routed through the left sheet metal heater duct area. Replacing the main harness may not have corrected your thermister problem, if there is a fault in the separate wire. I would make some continuity and function tests with the harness and temperature guage before you blame the thermister, which may be difficult to obtain.
I have attached the appropriate section of the 1964 Corvair Shop Manual Supplement to help with your troubleshooting.