Well hopefully firefox itself is signed. This is exactly what signing is designed to prevent.
...you should reinstall your OS. Really, that shouldn't even be an "if" these days. Of course security doesn't matter if people can just execute random code on your machine.
Anyway, code signing is not about delivery time integrity. It's easy to check whether a given binary is code signed at any given time—without it you wouldn't be able to revoke bad certificates. The only reason you shouldn't sign is if signing has some cost (like in the Mac OS X ecosystem) or you can't trust a single root certificate anyway (at which point you might as well move to OpenBSD anyway).
Sometimes you have few limited vulnerabilities that can add up to complete systems compromise.
Awesome!