As a civilian* who flies from a military flying club perhaps I have a good perspective on this... Yes, they do sometimes look down on the training of civilian PPLs. As an example, the local AEF takes a patronising attitude to the flying club constantly, even though the aircraft we fly are essentially identical and they are not allowed to conduct instrument flying. But.. this problem is confined to certain groups of military pilots (young fast jet pilots; old AEF ones) - the vast majority, especially the more experienced ones, are perfectly accepting of our presence.
Tim
*PS technically I am actually military personnel (VR(T) officer) but I don't think this puts me on the other side of the fence!