Ironically movements like the BDS actually cause Palestinians who work for Israeli companies to loose their jobs.[1] Liberal minded Israelis make up about half of the population and there are many efforts to bridge the gap through entrepreneurship [2][3]. The left in Israel did fairly well in the last election, and actually gained some seats. [4]
I think if you actually talk to the Israelis and the Palestinians in tech, not the politicians, you'll see that that most of them want to live in peace with their neighbors. Also, peace is good for (start up / tech) business.
[1]http://www.timesofisrael.com/victory-for-bds-as-sodastreams-... [2]http://www.inc.com/jill-krasny/palestinian-internship-progra... [3]http://www.elephant.org.il/events/event-in-haifa-for-creatin... [4]http://www.nytimes.com/2015/03/24/world/middleeast/israel-be...