There is a continuum between pre-commit and push to production. You can push to integration, push to QA, push to nightly build, and so on.

I'm highly skeptical of code reviews as the way to find bugs. I think code reviews have other values, just not that one so much. Getting multiple eyes on code and the results of that code, getting it into the hands of QA, dog fooding it, all play a role. That all sounds way more ad-hoc than I mean it. I used to write life critical software, and you have well defined ways to handling source control and reviews. I advocate figuring out what your project needs, adopting that, and then continually adapting as the project changes, as any project will.