First of all, if you are trying to register your car as a homebuilt, you need all the paperwork they described. Then to make it worse you will need to load the car on a trailer and have it inspected at some major DMV office - possible even Albany.

To expedite your quest, the easiest way to do this is marginally legal (maybe). You need a serial number for a 1932 Ford - you can pick one from listings that are available for that model car(http://www.wnyrg.org/tip.html) - chances of duplicating someone elses in NY is slim to none. It then needs to be stamped on a frame rail or a manufacturer's tag. Then a pencil rubbing (or photo) needs to be taken of that stamping. You will need a bill of sale saying that you purchased the car on a specific date and for a specific amount. Your buddies can help - out of state is probably best. You will then pay NY sales tax on that amount. It probably should be notarized though not spelled out in the regs. NY used to have a form called "Certificate of Origin" but seems to have disappeared the last time I looked. NY really only wants your money - and some bureaucrat needs a job to enforce the long format

A smaller town DMV (not a LI) office with a grandmotherly type behind the counter is also a positive. You will be issued a 6 month temporary registration, with the permanent to follow usually automatically.

Good luck - it has worked for me and all of my friends, all in NY

Others will flame me for this advice, but in NY, it is about the only painless way, and the DMV knows exactly what you are doing.