Running Debian through CompCert while putting more work into CompCert for portability and optimization is the easiest solution with long-term benefits. Performance will go up steadily. Bug count will go down steadily because that's what SML/Ocaml does. Code will be more readable. Repeat for most trusted tools to drive assurance up across the board.
If they don't want to do that, then the result will be something along lines of just having a bunch of people compile and sign the distro publishing signatures, etc. You will trust that they trusted whatever they all looked at. And anyone whose studied GCC's source, etc will know that basically means they all saw the same code. They'd have to understand it all to have known if there was a weakness introduced. They won't, use of C/C++ makes that harder, plenty of rope to hang one's self in any common action, and it's why those of us doing subversion-resistant development use languages like ML's or Oberon. FOSS needs to similarly transition toward safe, comprehensible tools that aren't backdoor generators just by architecture & language used.
Otherwise, all this talk of preventing subversion is just talk: they're going to get in. And if not subversion, the endless stream of 0-day's from the language and architectural choices will continue to do the job. A re-implementation of the TCB's of our systems is long overdue.
[1] http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.51....