I think the mode of government in the majority of Muslim countries plays a major role in the instability of those countries. Look at Egypt's modern history for example, they went from Nasir, a dictator, to Mubarak, with no civilian government, the army ruled, oppressed, jailed, and murdered any decedent it didn't like. Reform was snuffed in the cradle, and the people finally rebelled in 2011. The army removed the brotherhood from power and placed el-sisi, another dictator, in power.
Democracy and freedom allows people to not only govern themselves, accountability and checks and balances in place, with a free press, it also creates innovative dialogue about their issues, be it political, sociological, religious and economic - that doesnt exist in the Arab and Muslim world.
Add to it American and British interference, that tends to side with the dictators and their clique, it creates and fosters this hatred towards the "west". The Turkish military removed three elected governments and arrested not only politicians, but journalists, activists and anyone who complained. This all happened with American political and military cover.
Iran would of been a full fledged democracy if it wasn't for the CIA and MI6 who removed Muhammed Musadaq in 1953 and brought back the Shah, who ruled Iran with an Iron fist till the Iranian people rebelled and removed him. The anti americanism that runs among the Egyptians, Iranisns and Turks isn't an accident.