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I've been in consulting for ~4 years, and I haven't worked at a client that I don't consider as "Corporate America". My clients range from non-profit to energy to healthcare, and there are definitely politics regardless of industry and at all levels within the company. Though with your military background experience, you'd be highly respected and well prepared for the dynamic and fast tempo consulting environment. Consulting typically pays very well, but there are high expectations, long work hours, and personal sacrifices.
I also work for a very large consulting company, and I've heard smaller companies may have non-Fortune 500 clients which may have less Corporate America structure/tendencies.