Non-Hechsher Kashrut

I believe an illustrative example may be of use, concerning a product that has been approved on this forum, and thus can be explained according to the sources that would make such a product kosher. For example: Fritos bean dip (Fritos bean dip)

There are products in the facility such as non-kosher cheese dip that was mentioned on this forum as well. So why is there no issue of cross-contamination between these products, potentially using the same facilities? What are the issues, and what are the kosher requirements that we would need to check if we would do our own homework and call in?