From that previous blog entry:
"American naval military planners at one time too having considered the use of liquid-fuel missiles for submarines."
The missile the navy had in mind was the Jupiter.
"The PGM-19 Jupiter was the first medium-range ballistic missile (MRBM) of the USAF. It was a liquid-propellant rocket using RP-1 fuel and LOX oxidizer, with a single Rocketdyne LR70-NA (model S-3D) rocket engine producing 667 kN of thrust. It was armed with the 1.1 megaton W49 nuclear warhead"
American missiles during that earliest period of the Cold War liquid-fuel and derivations if not downright clones of the German V-2! Jupiter able to carry a "large" thermonuclear warhead! Jupiter had throw-weight which was essential in those days.
A progression of liquid-fuel missile development as in the American arsenal and also having a space exploration function. Redstone more or less a clone or a derivation of the German V-2. Jupiter, Jupiter-C, and Mercury all adaptations of the Redstone.
Again, thanks to the superior ability of American physicists a "small" thermonuclear warhead being possible and indeed do-able that decision having been made to scrap the Jupiter concept and go with the Polaris solid-fuel rocket the rest is history as they say!