Spirituality.

When a person rejects mainline religion, but doesn't want to let go of "the sacred", and "the holy".

This is known as "being spiritual".

Won't sue or kill you as when the organized religions get offended over what they find "sacred", but they'll still get verbally nasty.

At the very least, pissy.

In pissy mode, they'll likely attempt to show that "science is a faith", and call other disciplines that bear no relation to spirituality "woo-woo", and "mumbo-jumbo", and have no trouble whatever applying those labels to other religions and spiritualities.

(Also see "sophisticated spirituality")