MobBoss
Off-Topic Overlord
I'm using some wiki to refresh my history, but the temple of Jerusalem being destroyed was not the item that ended the wars per se, it was that Jerusalem (and particularly in the Roman case, the temple being in effect the central citadel) was finally overcome after respective sieges. The end of those wars were not specific to the religious implications of the temple's destruction, but rather to the fact that Jerusalem was essentially the final holdout of the local defenders.
This is a far different strategic circumstance than an opening-shot destruction of the holy real estate that has no inherent military value.
Well, we could argue this all day; but I dont think it any great reach of the imagination that destroying the temples in both cases effectively broke the will of the hebrews utterly and totally. In the babylonian case, Israel was captive for like 70 years, until shown mercy by Cyrus; and in the Romans case, the tribes were scattered to the 4 corners of the world.