This is your interpretation. The "who started" it or who keeps the terrible dynamic going argument is far from settled; to me the Palestinians clearly declined the 1947 partition plan (and before that the Peel Plan proposal in 37) and then the 90-00s Oslo and Camp David initiatives. They are making it quite clear the "right of return" is part of their identity by now, not something they are willing to give up. So it's important to ask what are we arguing over here - the 67 border occupation or the whole of the land?
> but to claim that Israel's international influence is only as big as its own voice is just as crazy
Israel indeed has a bigger influence than it's population size, but so do the Palestinians actually; every European, most Indians and Chinese, every Americans - everyone knows who the Palestinians are. But the fact is there have been countless genocides and dislocations much much worse than anything that happened during the Arab-Israeli conflict that most people know almost zero about. And let's not forget 3rd generation Palestinian are still counted as refugees which is unprecedented. I am not saying all of this is a result of the "Palestinian Lobby" but clearly they are getting way more attention than other stateless people (heard of the Kurds much lately?). Also saying stuff like the Jewish Lobby or Israeli Lobby reminds Jews of stuff that people said about them (and still say about them to this day actually) which is truly horrible; is that so hard to grasp? You can try showing more sensitivity and at least be careful in how you phrase your arguments.