There are really two possibilities, drive it or transport it, the distance is 2,200 miles, so it's a challenge doing it with an unknown 56 year old car, but I have done other risky things in my life, like flying all over the Caribbean, mostly over water, in a single engine piston aircraft, which of course you cannot park on the side of the road!
As for customs, that is not a problem, you can import cars to Mexico from any origin provided that they are over 30 years old.
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