To expound a bit on what Jim just added, yes, you do need this Circuit Breaker (assuming that you have a Power Top on your '65), unless you want to risk "frying" your wiring from the solenoid to switch, the switch, wiring from the switch to the motor, and the motor.
As Jim noted, this part (C4DZ-14526-D) was only used on the '65's, and not available as a Service Part. Also as Jim noted, in 1966 and 1967, this was replaced by a 6" Fusible Link Wire (C6AZ-14526-A). I have attached copies of the 1965 and 1967 Convertible Top Electrical System Diagrams for your info.
Finally, before going to all of the trouble of cleaning, having plated, etc., be sure to Test the Circuit Breaker to be sure it functions correctly. Many times, these old breakers can remain open after having functioned as intended. You may also be able to use your existing bracket (14A066) and find a new, NOS, or Repro circuit breaker to use with your bracket. Many of the early 60's circuit breakers were this "thin" style. Just be sure to get the correct amperage breaker (20 Amp).
Bob