Well, all success in battle is either directly willed by God or allowed by God. So I don't necessarily differ with them on that. According to the online calendar, the war started on Monday and ended on Saturday, so that doesn't really figure with the Jewish method of counting days per Shabbat, the 7th, being Saturday. But it does figure with the new day of rest being Sunday, oddly. The Shekinah is the Holy Spirit, and is noted as a cloud throughout Temple Judaism, not some nebulous, gnostic presence. I'm not sure where you are getting your information, as I am fairly familiar with that milieu, having once believed much of the things they do prior to conversion. But like most things effectively diabolical, it's not all lies, but truth mixed with lies.
There WILL be another temple in all likelihood; the Fathers are fairly clear on this, as per the AntiChrist and his reign. I'm not saying we should facilitate it, but decrying it will not stop it.
The Israelis are not causing issues with the muslims. Those yahoos are quite capable of being an issue unto themselves. The muslim ideal, purpose, goal, and eventuality is movement on the entire world, as we saw in their forays into Europe in a military fashion; currently they have engaged in a soft invasion of immigration. Let's not discount the fox because of a perceived wolf.
Personally, I'm not FOR the rebuilding. But I think it's a bit naive to look at the various numbers in battle of Israel vs the Arab nations and not wonder what is up. The only place we see such disparity on death toll otherwise is the battles of the muslims against the Holy Roman Empire. It might not be that God is facilitating victory so much that the Muslims just royally suck at fighting any manner of organized force in an appreciable linear manner.