I also would not want my young child to get too close to another child whose parents are polar opposites of DH and me.
I will not let someone watch my child if I think they are the least bit "off".
I'm not sure I'm understanding your meaning, so I want to make sure I'm clarifying. I don't want to assume you're saying something you're not.
If, for instance, this family was of a denomination (ie, Baptist, for instance) that doesn't believe in having alcohol in the home (and, I AM generalizing - I am fully aware that this is not an across-the-board thing in the denomination), you would not allow your child to associate with this family based on that?
Or, perhaps this family's [some relation] was killed by a drunk driver, so they really have a problem with alcohol in the home, you would consider them "off"?
I think I'm misreading your post, so I want to make sure.