Bobby, it couldn't be a single book, and probably it would be an entire library...
Actually there wasn't a single "arms race" but many, and all interwined in complex ways. Moreover, what it would be needed is a single point of view covering of the matters, but this is not possible if you really want to go in detail. Third, there are big holes in the documets available (lost, classified, unknown, think this: how you find out the "existence" of a program if it is in the black world ? And, having uncovered it, how you'll explain the rationale for money, big money, being spent on it ? And why are certain roads not taken, even if they were actually very promising. Think at the work in early ABRES in first half of the '60s on ballistic re-entry vehicles with ECMs: it worked fine, why not use them ? They also did radiation-homng re-entry vehicles, and even home-on-jam ones.. This is a technology that has all but disappeared.). Fourth, an "ideal" Cold War history book would have to "use" what we now know in terms of documents etc. but putting the facts and interpretation in the contest of the times: now we know what the opposite part was doing, and what happened next, but people back then didn't know, or knew only scketchy, and the intepretation of what they thought they knew was different from ours, and from each other of the people involved. And putting oneslef in the shoes of people living in the past is no easy matter, the past is a stranger land, even for people still living and acting then (I am thinking of McNamara himself). When you say this it seems very natural and rational, but I assure you that it isn't so straightforward for the absolute majority of historians. Just think that Furet did this FOR THE FIRST TIME regarding the French Revolution in the '70s, and historians (some) are doing the same regarding the prodromes to WW1 only since 10 years. Imagine what happens in a subject as the Cold War. All this said, I think that good starting points are the classic: "The Common Defense" by Huntington (yes, that Huntington) on 40s and 50s seen from the early '60s; "Poltics and Force levels" by Desmond Ball, on the gyrations of the Kennedy administration (Ball thought that the Johnson one was a mere appendix of Kennedy's in this matter, I disagree, but that's life); "Making the MIRV", by Ted Greenwood (one of those rare academic historians that actually UNDERSTANDS weapon technology); "Ballistic Missile Defense", by Benson Adams on the complex evolution of ABM in the US during the late 50s and the 60s seen from 1971 by a Booz Allen analyst sympathetic with ABM concept (a rare bird). Lastly, "Inventing Accuracy" by Donald McKenzie, ostensibly on the evolution of inertial guidance, but full of insights on missile technology evolution and strategic concepts. McKenzie started as a critical sociological scientist but ended up LOVING the matter he was studying. Unfortunately, he never continued in same topic studies, probably feeling that his academic career would suffer..
Lastly: the SSBN-X will probably be a stretched Virginia-class, BUT the missiles could be a mix of weapon types (Trident D-5 and new IRBMs). As for the ICBM, at that force level, updated Minutemen would be ok. I don't see any usefulness in doing a 92" missile to carry a single re-entry vehicle, even a MaRV with terminal guidance. My opiinion.