I like to wear my sword of honor and officer dangles with my badge.
When I was in college, I ALWAYS wore my SAI badge any time I wore my Phi Sig badge because I firmly believe that I would not have joined Phi Sig if I hadn't first been SAI. If I was just wearing the SAI badge, I didn't wear the Phi Sig one....but always the SAI if I was also wearing Phi Sig.
Does that make sense?