I rather enjoy the sound of the Mach system, it is one of the best factory systems I've heard!
I figured out while building my new car what makes the noises. Its the crappy plug Ford used on the 94 models, it's right under the carpet near the driver side door. A big rectangular shaped plug. The 95's had a standard plug there which offered a better connection (never had this issue with my 95's!).
On a side note, if you are going to just throw that away, I'll pay shipping to send it to me! I would like to have a spare.