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That's, yeah, a really difficult question to answer, in part because I think the answer changes pretty substantially between those two dates in question "WWI and 1948." You also need to separate out what "nationalism" you're talking about, whether that's a pan-Arab nationalism, a greater Syrian nationalism, a Palestinian nationalism or a Zionist nationalism, and if we're talking about a Zionist nationalism what kind of Zionism (e.g. Labor Zionism? Revisionist Zionism?).
I think you also need to be very careful with the distinction between violence that is "nationalistic" as opposed to merely xenophobic. In the 1936-39 revolt, Arabs might well have attacked Jews on the basis of being "the other" and vice versa but did either side aspire to a nation, and if so in what form?
I am by no means a Palestine/Israel specialist and this is quite possibly the most specialized subject in the entire region so I'm hesitant to "answer" your question but I think I can at least point you to some other works that might be helpful:
Also I would have a look at some of the literature on the meaning of nationalism discussed in this thread based on my own question about the topic here because, as I said, one of the key distinctions I think you'll have to make is whether conflict with "the other" along "national" lines is actually a form of "nationalist" conflict.
Like I personally don't see the need to talk about religion.
You're free to take this as you like, but if you think religion isn't relevant then you very much should talk about it. A well-constructed essay needs to address and refute counter-arguments as much as it supports your own views. One aspect that might be worth discussing on this particularly question, although you might be limited by length and scope, is why the outbreak of civil conflict in Palestine also saw Arab attacks on non-Zionist Jews in countries like Egypt (where the Muslim Brotherhood carried out a campaign of violence against Egyptian Jews who were basically minding their own business.) Or within Palestine why the 1929 riots seem to have been so focused on religious holy sites etc.
Again, a huge question and I'm sorry if it's not an "answer" per se, but this is one of the biggies in the field and whole books have been written on this debate, which shows no signs of slowing down.