This morning, I saw (and subsequently down voted) answers by a new user Dr. Cortes, which appeared to be trying to answer the questions with Christian messianic responses (eg. about Yoshke and Paul). These answers are clearly off-topic and arguably spam. Should such answers be tagged as such to expedite their removal (rather than waiting for sufficient down votes)?
I have deleted some Christian (and other) answers as spam when they evangelize. We've gotten some pretty blatant preaching at times -- from Christians, Muslims, and the occasional super-emphatic atheist. (Sometimes these posts are offensive instead of, or in addition to, being spam, by the way.)
Merely answering from or assuming a Christian (etc) perspective isn't enough for me to consider it spam. I think the two examples you pointed out are below that bar; they're misguided, they're non-answers, and they should definitely have been deleted, but they're not spam. Spam/offensive deletions impose penalties, which we shouldn't apply to the merely misguided.
If you don't have the delete-answers privilege, or if the post doesn't yet qualify due to voting, you can bring it up in chat to get more eyes on it and/or flag as not an answer (which sends it to the review queue). And downvote, which you already did (thanks).
I can't speak for the other mods, but while we generally let the community handle NAA flags if it can, I do look at them when I see them. If I see something blatant I nuke it; why leave it on the site and ask more people to do work? So flagging does get moderator attention.
I feel all answers not answering from a Jewish perspective should not be flagged as spam or offensive for @Monica's reasons, but they should be flagged as not an answer. If the answer doesn't answer the question, which implicitly asks for a Jewish perspective, that is the correct flag reason.