It is an important characteristic of ideology that it is symbolic: it means that multiple people can interpret it in different ways. Which interpretations are "correct"? The ones that conform to the underlying power structure. The power structure punishes "misinterpretations" and rewards "correct" interpretations.
Just as different start-ups have different ideologies because they have different power structures and economic relations, Islam in the Middle East is not a coherent political ideology. The Islam of Iran reflects the organization of its government, not the other way around. The Islam of Saudi Arabia reflects the organization of its government, not the other way around.
The Islam of Da'esh, which is considered heterodox by literally every other sect of Islam, is a reflection of its power structures.
The same signs and ideas reflect different physical realities. What drives the development of signs and ideas? The physical reality. Only the material can propagate ideology, and only the material that propagates itself succeeds in the long-run.
What use is it to say that "Islam is a political religious ideology for most of the Middle East"? What analytic and predictive power does this statement have?
Ok, sure. I can agree with that, but in my opinion it's a low-power assertion. Liberalism as an ideology allows imperialism and coups, too. Like the one that ousted the democratically elected prime minister of Iran and replaced him with the autocratic Shah.
There is nothing especially poisonous about Islam. The politics of the Middle East are largely driven by global capitalism, imperialism, and war. What has more political force? A cruise missile or a copy of the Quran?
Ideology and social order go hand in hand, and even more so in Political situations and you have to be very oblivious to say that Islam is not an political religious ideology for most of the Middle East.