I got the Mustang bridge, and still got some slight metallic buzzy overtones, too, at first.
First, I changed to "power slinky" 11's for strings, and most of it went away, but there was still some sort of phantom remnant. I finally solved all the buzz by using a water-soluable, clear-drying white glue adhesive between all the moving parts of the bridge. I glued the saddles together sideways to each other, and I put some on the height adjustment screws at the bottom of the posts, as well. I also put a little silicone putty at the bottom of the bridge sockets to prevent rattle there. I also found that the length-adjustment [intonation] screws were a litt loose in their threads, and that some nylon tape helped.
A light coating of clear acrylic enamel over everything works, too, but it takes longer to dry. Some folks dampen vibrations between bridge parts with lubricants, and that would kind of work, but on a Mustang bridge, it could get a bit greasy.
If you use an adhesive to stabilise your bridge- just make sure it's of a type that can be easily broken for purposes of re- adjustment.