Two other badges should be made that wold settle this confusion. C.E.B,(Engineers), C.T.B, (Tankers) that would leave the C.I.B.,(INFANTRY) ALONE. OH YEAH, I GOT ONE... Got it where Engineers or tanks could not go. Mountains of Italy. (justanoledogfacetalkin') Rocky
Rocky,
You bet. It is a shame the powers that be (were?) did not come up with the CEB and CTB as you suggest. That way everybody who saw combat could have had their own badge, although the War Department would have had to add a Combat Artillery Badge (CAB) and probably some others I can't think of at the moment. Oh, .... a Combat Signals Badge (CSB) for those poor linemen who were always out fixing the broken lines to the front lines. I've yet to talk with one of these guys who wasn't out under enemy artillery fire splicing wires so the guys up front (not too far away I'm sure) could call back and get the artillery on target or ask where the he?? the tanks were.
Speaking of infantry in the mountains. General Devers, short on infantry, ordered a couple of battalions of armored infantry into mountain top positions in the French Alps, and when SHAEF found out what he had done he had to write a justification for his decision. According to my sources the real fun began when these "mechanized" armored infantrymen had to pack their mules, and lead them into the mountains. Apparently the mules caused more damage and injuries than the Germans. (Maybe they were secret weapon German mules specially bred by Adolph himself just for this purpose?) 
On a more serious and less generous note, I have to wonder if the CIB would be less attractive to the non-infantry types if it did not carry the BSM with it. 
Jim