Cool idea, but does it make sense to put a museum 70 miles outside NYC on the far end of Long Island? How are people going to get to this museum? It's not near anything.
PS: Long Island is the most populated island in the US, it has 7.6 million inhabitants. Also, Brookhaven is in the middle of the island (close to Fire Island), not the far end. The Hamptons are way farther out, and yet plenty of people manage to find their way there.
The site significance is cool, no doubt, but I question how many people will ever trek out to visit this.
Long island is part of the largest metropolitan region on earth. You don't need to worry about "how many people will ever trek out to visit this".
A good science/history museum there would still be in range of the informed tourist (ie, those likely to spend a day at a Tesla museum) and more importantly of elementary school field trips. Personally I would pair it with the Teddy Roosevelt museum on Long Island and do a Turn-of-the-Century Internet Celebrity Day Trip.
In any case, Dia: Beacon is one of the most famous galleries in the world, and it's 90 miles away from New York City. Lots of people commute from the city in the summer to check it out.