I always thought/heard that once the Night of the Long Knives happened, the military as a whole pretty much came to support Hitler. There were a few exceptions (both then and throughout his regime), but Hitler ultimately gave the military a lot of what they wanted. The Reichswehr had been secretly pursuing rearmament during the interwar period (now they could pursue it freely), and the more radical/problematic elements of the Nazi party had been dealt with.
EDIT: The German military leadership also supported the idea of war against Germany's enemies. Their reservation was that Hitler was being too fast and too aggressive. They were also not supporters of German democracy by any means.