You could scour ebay for period correct parts - that'll take $$$ and getting the exact bits would probably take forever. Alternatively, buy some pre-relic'd, or relic them yourselves, components (plenty of advice on here if you search for how to make new stuff look old), get some good pickups (again, plenty of advice on here on what's suitable) lash it all together and let it rock. It IS a classic, but as you're adding all new parts, it probably won't ever be worth what a complete 66 would be*, so I'd just get it playing and enjoy it. Maybe get a good luthier/tech to set it all up properly after you've added the parts. Made all the difference to my home-build.
Brand-new parts would look a bit odd on that body and neck I think.
* - I'm sure there's guys on here who'll have more experience in the valuation, if that's important.
Good book: Guitar Player: Repair Guide by Dan Erlewine. Helped me no end.