Acceptance: Institutional or Confessional?

I reflected about acceptance at camp and in the church several days ago. My friend, Ben Simpson, clarified for me a distinction in acceptance through sharing the following:

Institutional acceptance is based on a characteristic of a particular institution, organization or community.

Confessional acceptance is based on our confession of Jesus Christ as Lord and the character of the God that we serve.

I have experienced churches to be accepting based on a mix of these in varying degrees. Can you have one without the other? How do they interact?