They practise Islam and consider themselves Muslim; who are you or I to say otherwise
(do/did you intend to pull a no-true-scotsman)? You should research attacks in the East to find out why they happen - It will usually be done against rival sects of Islam (
eg. against Shias),
Christians, or for political reasons (pro-Shariah
/anti-democratic attacks are most common worldwide, "retributive" attacks more in the West). Appeasement as you suggest may feel nice, but won't work out in the long term.
You talked in the shoutbox about Western intervention in the Middle-East as though it was the "cause" of Islamic Terrorism. In some cases this is true, but not usually. Terrorism occurs anywhere with sizeable Muslim populations (eg.
China,
India, south-east Asia -
Philippines and
Indonesia in particular, the West,
Russia, etc, etc) - usually in the form of separatist Islamic groups (or groups trying to take the country as a whole - such as Iraq/Syria with IS) - for the purpose of building states of fundamental Islam.
(all links are just random examples. you will find many more from a wide variety of groups)
Personally, I consider mass-murder to be a bit more of an issue than "fear and segregation" (even though no one is imposing or enforcing segregation, and even if those crazy right-wing bacon-on-mosque attacks are really spooky).
I say that mockingly but actual violent attacks by any group is important to find a resolve for - they don't excuse each other. Islamic terrorism just happens to be the most deadly and relevent form atm (Inb4usaisterroristmeme).
The religion needs a reformation, similar to that of Christianity ... unfortunately you have a lot of people constantly trying to excuse violent actions committed in the name of Islam with whataboutism, no-true-scotsman, ad-hominem attacks, and appeals to emotion.