Should Government Mandate Backdoors f...

Despite the US being one bit of the world it seems to regard the Internet as its own rather than a global system of interconnected computer networks that use the standard Internet Protocol Suite to serve billions of users worldwide.
So now the FBI wants to snoop on any internet traffic it chooses.
What about the rest us whose traffic may accidentally pass through US controlled space? Do we, or our governments, get a say?
Apart from it being a bad idea technically to introduce backdoors because they offer a tempting target for the bad guys, misuse of the information gained by surveillance of the kind proposed is common. Governance of backdoor snooping is non-existent on the worldwide scale.