Palestinians in Gaza have no path to Israeli citizenship (I'm sure there are some exceptions, but very few). Many Palestinians in the West Bank also don't have the same rights as Israeli citizens.
I'm blown away you don't understand this. Palestinians can't get citizenship in Lebanon either. Most young Palestinians are permanent refugees because of decisions their parents, or their parents' parents, made. There are millions of various types of refugees throughout the region. Turkey alone as 2 million.
Think! What young person would choose jihadism over Israeli citizenship if offered? Many Israelis argue that all Palestinians agree with Hamas while OMITTING the reality Gazan's face--which is they have not NO REAL INDIVIDUAL choice in the matter.
I believe if you research this stuff you will be shocked at what you seem to have assumed.