‘64 Dart Carburetor Help

I’ve got a 1964 Dodge Dart with a 270 Slant Six engine. I believe it’s 225 CI displacement.
I adjusted the carburetor’s idle to the best of my ability, and yet it still idles very fast. It’s causing hard shifting, to the point that my tires spin a bit when I shift into reverse from neutral.

My engineering teacher took a look and adjusted it, but he thinks I’m missing a gasket underneath the carburetor, and that a piece on the throttle linkage is broken.

I can post pictures if needed, but I’d really appreciate some advice, as I don’t even know where to start.

Pictures help.
A. Get yourself a service manual. Nice thing about a factory setup is that you can set everything to the factory specs.
There are some free digital copies at mymopar.com Reprints and originals can be purchased too. Look here in the classified and there's some retailers as well.

A1. Many Service Bulletins are available at the The 1970 Hamtramck Registry Library Page (1960 - 1964)
Unfortunately @Alaskan_TA (the website master) doesn't have any listed for '64. Or maybe that's good. No corrections!

A2. Many many tips and advice provided in the Chrysler Master Tech Conference.
http://www.imperialclub.com/Repair/Lit/Master/
Take a look at 63 an d'64 to see if anything applies directly.
As you'll see they also had more general topics, where they cover why and how things work.

B. Get the idle speed correct, then adjust the transmission 'kickdown' linkage. The 'kickdown' is common name for the transmissio's throttle control. The automatic transmission only will act correctly if it knows the throttle position correctly.

The issue may relate to how the automatic choke settings. Its more like semi-automatic choke but in any event there are several stages.
1 Cold start. Choke is nearly closed, throttle is on fast idle.
2. Started - manifold vacuum imediately opens choke opens slightly further
2a. Idle speed can be kicked down one step on the cam by tapping the throttle. (if its warm enough)
3. Choke bimetal pulls choke open as it warms'
3b. When its warm enough, idle speed can be kicked down to normal position when warmed up enough.


C. To set the engine to specs you'll need a timing light and a tach/dwell. Also need a cap or plug for the distributor's vacuum line. A golf tee works great.