The Haredi (aka ultra orthodox) parties are not the key drivers of the settlement enterprise. They are mostly ambivalent to the whole thing, their primary focus is preserving their lifestyle, which is less about the land and more about everything else in the religion. In fact, just last week one of the Haredi politicians published a populist rant about how Zionism is terrible, the Zionists are the root of all the problems etc etc.
The two most right-wing parties in the parliament (headed by Smotrich and Ben Gvir, respectively) are not Haredi, and their constituents do serve in the military, by and large (although less than their secular counterparts, as the women don't have to serve and there are programs that allow abbreviated service for men as far as I understand).
It's complicated..