Depends on if this proposed program is voluntary or involuntary. I suspect the folks to self-select to sit down with a random family to cook and share a meal may not identify with the demographics you point out.
Certainly the Mormons won’t show up, nor JWs with their watchtower pamphlets./s If there’s one thing Christians love, it’s inviting strangers to dinner. It’s biblical. They will also pray for you and thank God for the good food and company. Some find this “do good always” attitude horrifying, but probably because they’ve never been exposed to good Christians. Remember, most humans are good, even the Christians!