Yeap, tons of audible interactions are possible there. I have had this problem when doing studio recordings. Playback of other instruments or in your case loudspeakers can easily cause resonation of your drums. Every piece of a drum set is meant to reasonate @ a certain frequency, so there will be overtones from your set. If you absolutely HAVE to have your drums in the same room as your home theater speakers, you can at least minimize the interactions and cut out all the most glaring ones, but you can't make them sonically disappear entirely.
Here are a few things I do if I am recording with others in the studio and want to quiet all or just certain pieces of my set. One of the most audible distractions will probably be from the snares & resonate head on the snare drum, so flip the lever to take tension off the snares when you aren't playing. Also while not playing your set, you can put something (like a small thick cloth/pot holder/anything) on the batter head of each drum, this will muffle one side of the drum and should keep things quieter. Next, make sure you have the rubber sleaves on all the cymbal tillers so they cymbals don't resonate agaist your cymbal stand. Hope this helps.
Brad
