Of course, you then have to convince them what specifically to do. The reproducible builds project has some nice documentation: https://reproducible-builds.org/docs/ and I already mentioned my guidelines: http://www.dwheeler.com/trusting-trust/dissertation/html/whe... . You can also look at specific war stories, such as Tor's: https://blog.torproject.org/blog/deterministic-builds-part-t... or sbcl's: http://christophe.rhodes.io/notes/blog/posts/2014/reproducib...
We can also make it easier. One great thing is that the Debian reproducible builds group has been modifying tools to make it easier to create reproducible builds. That doesn't mean there's nothing left to do, but making it easier makes it way more likely. The "containerization of everything" also has the potential to make life easier - it makes it easier to start from some fixed point, and repeat a sequence of instructions from there.