Additional comment from Joe Strbik;
The two Magnums draw around 11 amps. If #12 or 14 wire is used for the circuit feeding the horns, and nothing else is on the circuit, the bike engine is running, and the radar detector is on a seperate circuit from the horn, between the alternator output and the battery capeability, there should not be any problem on reduced voltage on all bikes I have looked at.
Could the horns be mounted near the radar detector? One other thought, the Magnum horns are nothing more than a strong coil creating a magnetic field in a rapid on off cycle. I have never studied a radar detector and how it works as well as if a strong magnetic field would affect it, but if a magnetic field will affect it, this could be the cause.
Sound Engineering Consultants