My interest is in the Bible, and in truth. That's my agenda.
I am interested to know what the implications for all of us would be, were temple vessels etc found. Would this increase the likelihood of a temple being rebuilt? [And questions as set out in OP]
At present, I am unsure as to whether scripture mentions another physical temple. Ezekiel 40-end is difficult to interpret.
As I have already stated, I do not believe, as a Christian, that a physical and temporal temple is necessary any longer. But, for many Jews, in particular those who do not accept Jesus as Messiah, the need for a temple, is, IMO, a necessary requirement for fulfilment of the Torah.
As for my question to you, it is not asked out of context to this discussion. You have made the point all along that only the 'experts' should be believed, but from my studies in the area of religion the 'experts' are just as likely to express subjective views as those less formally qualified. To a lesser extent, the same can be said of archaeology. In my readings about the excavations at Qumran, it's quite apparent that one expert archaeologist's summary, such as that of de Vaux, might differ significantly from another, such as Donceel, or the Lonnqvists. In other words, even experts can be wrong. They have a body of evidence which enables them to make hypotheses, which can be wrong, and as further evidence emerges, new hypotheses emerge.
Faith is, IMO, an important part of life, and yet you appear to be undermining faith, saying that it has no place in a rational world. However, you also believe things that are based on faith, not logic or reason, which is why I asked the question about Mary.