* Single rooted tree. Separated repositories would make it harder to share code, leading to more dupication.
* Build from head. We build everything from source, statically linked. No need to worry about multiple versions of dependencies, no lag between a bug fix and it being available to any and all binaries that need it, whenever they're next updated.
I don't think that an "internal Github" is going be a magic bullet here. It's more likely it would be a matter of trading one set of hard problems for another, as we all of a sudden need to figure out how to do cross-dependencies sanely, deal with multiple versions of libraries, etc, at scale. You are correct that one monolithic Perforce repo is a bit of a pain point, but that doesn't necessarily mean that the right decision is to shatter our codebase into different pieces - we'd rather make our repo scale better. For reference, we've already got hundreds of millions of lines of code, 20+ changes/minute 6 months ago (so what, 30+ now?), and plans for scaling the next 10x are in motion.
If you're interested, I recommend http://google-engtools.blogspot.com/. It details a number of the problems we've run into, and our solutions for dealing with them at scale.