I haven't been able to find a source on what a private road actually implies, but I don't think it necessarily affects access

Is access to Cesar Chavez Lane actually restricted? I haven't seen any signage indicating that

Looks like you've created this as two separate ways? An area should either be a single closed way or a multipolygon relation.

I'm going to revert this changeset

The Church of Jesus Christ of Latter-Day Saints represents a denomination of Christianity, so religion=christian is correct.

As far as I can tell, there is a road here running next to the houses, which you have converted into a sidewalk. A sidewalk can be tagged separately.

Also note that Google Maps is not allowed as a source due to copyright restrictions.

Is this not a driveway? Also, why has this changeset removed a tag from a church?

In case it wasn't clear, the value of incline refers to the direction the stairs lead when traveling in the direction of the way

That would be "tagging for the renderer". If a specific app doesn't handle this well, it should be fixed in the app.

I've reverted this, as it looks like vandalism, but I have not actually checked on-site

Erm, did you just delete the houses in this area?