If you want to understand anything about this beyond the "Israel is the problem" simplification, expand your exposure.
Except, of course, that I haven't exclusively attributed the problem to Israel.
Ask yourself why Egypt's border with Gaza has been, and continues to be, tighter than Israel's?
I would answer this if I talked about Egyptian politics online. In a nutshell, though, what I can say is that the average Arab citizen has little to no say in geopolitical decisions. If they did, many things would be different than they are now—whether any given individual would see the differences as being for the better or the worse.
When any poster demonstrates that they can't separate the idea from the messenger, I know that their argument is weak.
The idea is one-dimensional, rooted in overgeneralization, and dismissive of an entire people's rights and concerns.
Do you support Islamists?
No, I don't. It's amusing for me to be asked this question considering that Islamism regards people like me as deserving of death for "apostasy." Anyone who is even moderately familiar with my posts and the views I have expressed on RF knows that Islamism poses an existential threat to people like me, is diametrically opposed to my values and what I stand for, and is the primary reason I want to move to a secular state as soon as I can.
Your question seems to me a case in point that criticizing Israel's policies can get people inaccurately labeled as "Islamists," "Islamist sympathizers," etc., though.