If you find yourself using complicated custom methods with Dockerfiles, you should probably be building Linux packages, publishing to a local repo, and installing them from the Dockerfile. You gain the idempotent, immutable, versioned, system integrated, dependency-mapped, cryptographically verifiable, remotely distributed, cacheable benefits, and you don't have to adopt any new software or systems.
Your organization can follow any workflow/lifecycle it wants to build and publish the packages. Once they are published, developers can just install and use them with no learning curve whatsoever.
And to create those packages, I've found fpm[1] a joy to use.
[1] https://github.com/jordansissel/fpm