markco2, pretty easy to give a sensible answer to your final...

markco2, pretty easy to give a sensible answer to your final question. Non Believers go to funerals because society expects it and because it is part of the process of saying goodbye.

Also, they might have other beliefs that are not particularly religious that the essense of the person moves on to something else.

Does not have to have a religious connection other than the fact the venue is usually a church.