The that exists with political Islam is this. Every 'Islam' is differant. Meaning what 'Islam' is to me will be differant to what it is to you. However if it remains personal I can hold to my 'Islam' in my heart, cherish and draw inspiration from it. No problem. So can you. We both can love at peace with each other.
However you bring Islam into public space you need one Islam applied. This causes problem. Whose Islam? Yours or mine? Having differances on everything is normal part of human interaction but we debate, discuss and if we can't reason, we walk away. We agree to disagree.
However when two Islams meet and they can't agree there is good chance it will lead to bloodshed. The reason is there is nothing to discuss. Both carry god on their shoulders. Both are sure god is on their side. I am sick of hearing the idea that Islam is a monolith. It is not. Just 29 years into the Rashidun Caliphate the world of Dar-Al-Islam broke up and descended into war. Ever since there has beenm no unity. In fact every century brought more branches and more conflict.
This is not a problem only in Islam. Christianity also went through centuries of internecine conflict before religion was banished and secularism took root after the great reformation. Turkey was very fortunate for two reasons. First being adjacent to Europe some of the ideas and influences of Renaissance washed on the Anatolian shores. Then you were lucky that Ataturk came along and acted as a catalyst of change.
For rest of the Muslim world this did not happen and you see the consequences today.