Good post OP, it must be taken into account that many Muslim countries are coincidentally located on current geopolitical hotspots - that's a huge factor when it comes to terrorism. Similarly, a few decades ago most of Europe was a hotspot, not because its religion or ideology was violent but because of the way events unfolded in the region - which then gave rise to an ideology (Nazism), however, the region remained a hotspot for a long time during the cold war.
Correlation does not equal causation.
Same thing with South America, to this day there is instability, though not as much as it was a while ago.
Nowadays, it's the Muslim countries' turn. When there is turmoil, ideologies and narratives based on 'religious' propaganda/misinterpretation or political ideologies (e.g Communism, Nazism and all other such 'isms') etc rise, become appealing to victims and belligerents of political warfare and as a result ideologically-motivated fighters and 'religious terrorists' are created.
Of course, that doesn't mean we can just let our religion Islam get hijacked and abused.
The same reason you would provoke Muslims - 'freedom of speech', 'liberal values', 'modernity' or whatever excuse you'd prefer.