US Field Manuals

A literal treasure trove of warfare-related information lies in the American field manuals. A large collection is located here:
http://www.globalsecurity.org/military/library/policy/army/fm/index.html
Most are from 1990s to early 2000s, but some of the principles did not change much since WW2 and could be easily-ish extrapolated a decade into the future.

A rough firtst-glance list of those potentially most relevant follows. Unless said otherwise, they are accessible from the URL above.

Anti-aircraft defense:
FM 3-01.7 - Air Defense Artillery Brigade Operations
FM 3-01.11 - Air Defense Artillery Reference Handbook
FM 44-8 - Combined Arms for Air Defense
FM 44-18 - Air Defense Artillery Employment Stinger (the venerable Stinger anti-aircraft missile, way obsolete by 2018 but some tactics may be common)
FM 44-18-1 - Stinger team operations
FM 44-85 - Patriot battalion and battery operations (see also http://en.wikipedia.org/wiki/MIM-104_Patriot - a common surface-to-air missile, likely to be employed at least in some places; the 90+ kg warhead in hit-to-kill mode instead of the more usual proximity fragmentation mode may be fairly efficient against the atmospheric Nazi crafts)

Fighting in cities:
FM 3-06 - Urban Operations
FM 3-06.11 - Combined Arms Operations in Urban Terrain (!!!)
FM 90-10 - Military Operations in Urban Terrain (MOUT)
FM 90-10-1 - An infantryman's guide to combat in built-up areas

Ground warfare in general:
FM 3-25.150 - Combatives (general man-on-man combat)
FM 5-102 - Countermobility (blocking roads, creating obstacles; chapter 6 contains section on deploying atomic demolition mutions - low-yield nukes)

Resettlement of cities/areas, handling POWs, keeping order in captured cities:
FM 3-19.40 - Military police internment/resettlement operations
FM 19-15 - Civil disturbances

Behavior of nuclear, biological and chemical weapons, and smoke and incendiary weapons:
AFM 105-7 - Field behavior of NBC weapons
FM 4-02.7 - Health service support in an NBC environment ("Mediiiiiic!")
(There are more. How much in-depth should I consider nuclear attacks? Handbook is focused on terrestrial environment. Moon will be way easier, however, due to no weather patterns, no fallout, and no atmosphere to cause pesky problems with fireballs and sucking in dirt by convective flows and causing more fallout.)

Specialties:
FM 8-50 - Prevention and medical management of laser injuries
FM 24-12 - Communication in a come-as-you-are war (namely chapters 1 and 6, the rest may be too detailed)
FM 100-18 - Space support to army operations (namely chapter 4, capabilities and limitations)

Propaganda, PSYOPS:
FM 33-1-1 - Psychological operations techniques and procedures
http://www.enlisted.info/field-manuals/fm-33-1-1-psychological-operations-techniques-and-procedures.shtml

The ADMs described in chapter 6 of FM 5-102 are notable by allowing a relatively small force in a defense position to hold off a relatively large attacking force for a while. A single Davy Crockett like grenade can demolish a bridge or a tunnel in matter of few minutes tops, and look pretty in the movie.