I would like to see a feature that separates the Firefox history based on which computer you're using. This could be done using the Windows product key or a user-host name combination. When I use Firefox PE at work I only want to see my history from work. Sometimes my history has things that are NSFW because I use it in several places. I find it unlikely there is an extension that does this, since Firefox is typically non-portable.
The whole point is to have a single self-contained app that's the same on every PC. If you want it different, create a second install.
Sometimes, the impossible can become possible, if you're awesome!