This is funny but for most Christians wildly incorrect (I'll add another funny one that used to be somewhat correct in my case towards the end.)
As a Christian I'll more or less want to save anyone who is in danger, no questions asked, as long as it doesn't put anyone else in danger. The reason is simple: besides being the obvious right thing to do as a human it also means we'll either have a good person living here for a while longer or a bad person will get another chance to change their ways (and have a very powerful reminder to do it).
I believe this is true for most of us.
As promised, an actual funny joke that used to hit home with me :
As someone enters heaven they go past multiple groups and the tour guide say: here are the righteous from this group and here are the righteous from that group until suddenly he tip toes past a door, saying: "here's <x> group and they think they are alone here".
(That said I'm still afraid many will be up for a rude awakening whatever group they feel they belong to if they aren't don't actually walk the walk.)