If so, then "First Temple (Judaism)" is even less ambiguous than "Solomon's Temple" since some may associate it with his 1000 wives as some sort of "harem" or whatever it conjures up in people's imaginations. While "First Temple (Judaism)" is clear-cut and you know that it's a subject relating to Judaism. There can then be sub-sections within the article about what other religions or secular scholars say about this subject, or new articles titled "Christian views of Solomon's Temple" or Solomon's Temple in secular scholarship, that will keep the boundaries clear between conflicting views of this subject. This is like trying to push Judaism, Christianity and Secularism into one shared concept, it's artificial, and it's not just a matter of names in English it is about what the subject is all about.