1963 and 64 steering column question

That's what I would do too. Take a few photos, so you know which wire goes into which slot. Carefully trigger the release tab on the wire terminal to remove it from the plastic connector. Tape the wires together along with a long string or extra wire to pull through the column hole. That way you can re-tape the string/wire on the other switch and pull them back through before you re-install the wires to the connector. Otherwise, it can be a pain to thread those wires through.