Hello Gray Ghost:
I don't know AWJBH at all so I can't give you a comparison.
It depends what you are looking for.
If you want a more unstructured, card-driven sequence of play with an emphasis on friction, fog of war and leadership, then the approach taken by Too Fat Lardies is for you. As The Commissar said, finding the right TFL rules set depends on the scale you are gaming in. With 20-50 figures per side and a few vehicles, it sounds like their WW2 skirmish rules, Troops Weapons and Tactics (unfortunately acronymed as TW&T) would be best for you.
Too Fat Lardies has an active Yahoo group with prompt and courteous answers to rules questions, often by the rules authors themselves.
Mike