I think the problem here is that people seldom realize that a burglar alarm is legally similar to a “hue and cry”, so that if one goes off, it effectively removes 4th amendment protections against police search.
Even in the absence of a burglar alarm, if some “unidentified informant” says that your home is being burglarized, that is usually all the excuse the police need to bust in.
Right now, there doesn’t seem to be any mechanism that effectively can prevent a warrantless police raid on your home, with or without any legitimate reason for doing so.
Interesting point.
Claymores and napalm