"Also, if it does start, reducing the choke (move the lever down) raises the idle DRAMATICALLY. Shouldn't it be the opposite?"
The roundtop carbs(if that is what you have???)that came on the pre 1977, do not have a high idle cam on the choke, it only cuts off the air inlet flow(if your choke slides are properly adjusted???) So idle speed is not effected with choke on. All the choke does is to have a richer gas mixture. The idle speed getting higher as you remove the choke says you are running lean, from jetting or plugged idle circuits in the carbs or leaks in the carb isolator boots.