There were a lot of crazy whacky projects going on by the early 60's. Some completely bonkers even by Cold War standards.
Hydrogen aircraft (Suntan) boron aircraft (B-70) nuclear aircraft (WS-125A or CAMAL).
The "deterrent wars" between Army, USN, Air Force - with the "ICBM basing" crazy schemes (from Orion to Project Iceworm... !)
The "ABM war" USAF vs ARPA vs Army
The "manned spaceflight war" between USAF and NASA (SAMOS & Dynasoar vs Mercury and Apollo)
The "spysat war" between USAF and CIA (would the NRO be created in 1962 under Nixon ?)
And all the military aircraft programs... plus the SST (Nixon wouldn't tolerate Concorde just as he didn't in 68-72).
Apollo is the great unknown. JFK started at the wrong moment for the wrong reasons (Bay of Pigs, Gagarin - meh). There is a small chance Nixon don't blunder the Bay of pigs and this butterfly Apollo.
Note that a lighter, two-men Apollo (20000 pounds instead of 65000 pounds) could be send orbiting the Moon by one or two Saturn C-2. No Saturn C-5, no F-1, no LM. A mere extension of an Earth orbit space station. That would be enough for Nixon to beat the soviets at lower cost.
