Just to be specific. In order to join Tiffin Travelers Chapter you must own a Tiffin motorhome. To join Habitat for Humanity Chapter you are expected to participate in Habitat builds. to be a member of the Fingerlakers you need to homebase in the region since all of their events are held in the region.
Chapters can make their own rules about membership based on their charters. I doubt it would be acceptable to exclude someone for being a Muslim, unless you were looking at a Roman Catholic Chapter and I doubt a serious drinker would care to join Friends of Bill (although they would welcome such a person if they wanted the help). And on and on. I am sure the CHAI chapter for Jewish members would welcome you so long as you aren't trying to convert them to some other religion. Have I skipped anyone :)