My car's pissing me off.

ESP47 said
How is your fast idle cam working and your choke is not? They go hand in hand. Start with the simplest part.

Do this when the car is cold. Go out there and floor your gas pedal for a second. Take the air cleaner off and see if your choke has closed all the way. If it hasn't, then stomp on the gas again. Now check and see if the choke has closed. If it has closed, then you have some kind of obstruction with your air cleaner. If it doesn't close, then you need to adjust the choke so it completely closes when you push the gas in before starting. After you get it to close all the way on its own, it should fire right up. Check your manual or carb kit instructions for how far the choke should open after its been fired up.

This is a good start. You also need to check to see if there is gas in the carb when you have the no-start condition. When it first fires up and dies, pull the lid off the air cleaner and work the throttle. There should be a good stream of fuel being squirted down the throat. If not either your accelerator pump isn't working or there is no fuel in the float bowl. I've seen many slant 6 vehicles that had a drain back problem in the fuel system where you had to crank the engine forever to get fuel back up to the carb. There is a check valve in the fuel pump so you may have to get a new one if it's draining back.