My use of "implement" is closer to its use in Java or C. In fact, it's a pretty direct analogy.From dictionary.com
5 under verb seems the closest to your usage, yet I'm not sure "definite plan or procedure" works. Atheists really seem to have consistent plan. More like denial, or refusal to agree/believe/accept. Atheists are certainly in no way as evangelical; if at all, as many other followers of different faiths, though some may think so here: but this IS a debating site, after.
But perhaps "accommodate" might work. Secular humanism is more "accommodating" of Atheism, as is my faith: Unitarianism. (I am not an Atheist.)
The rest of my comment is in regard to "intersection" and the link provided. One can graph an "intersection" between many things: doesn't always mean that much. My definition of Atheism would be...