Piezo causes glass sensor to false

Alright, lets see if I can get this out without rambling on too much.

I have 2 piezos installed, one in each air vent at the sides of the dash.  They are wired to the same siren output as the regular siren.  They work great, they're loud and I'm very pleased with them.

I also have a glass break sensor and a 2 stage shock sensor installed.  Both are diode isolated.  The problem I have is when the first stage of the shock sensor chirps the siren, the glass sensor picks up the piezo chirp inside the car and goes into full alarm.  The G.B. is set all the way to least sensitive (which is probably defeating the purpose).

I have tried a few different things to be sure I have isolated the problem before posting.  First I disconnected the piezos and everything works as it should.  Then I reconnected the piezos and disconnected the G.B. and everything works again as it should.  This leads me to believe the G.B. is "hearing" the warning chirps from the piezos and going off.  Has anyone ever heard of this?

What I would like to know is if there is a way to keep the piezos from chirping on a "soft" alarm (as well as when arming and disarming, which dosen't pose a  problem)?  Im not really willing to relocate them or cut their output levels at full alarm.  Basically is there a way to make them wait a second or two before they start sounding?  Right now I have the G.B. disconnected as I would rather have the pain generators working, but I would really like to get the G.B. back online too. 

I appreciate any ideas.  Thanks in advance!!

Thanks bobk!  I owe you one!   That worked out perfectly.