A logical conclusion to this is that if/when governments start forcing people to supply them with their private keys, they will also start forcing companies producing encryption software to include backdoors.

At this point, I'm thankful that we have Free Software. With access to the source code, forcing the insertion of a backdoor is futile, since somebody else will fork and remove it. With Free Software, we'll still be capable of running our own encryption in a way that government intrusion will still be detectable by ourselves.

Unless, of course, governments then ban communication about backdoors, or instructions on removing them, or distributing source code altogether.