I don't think we had Arab allies that we were in danger of losing in Ike's war.
As far as: "Why is it we're the ones who have to go out of our way to avoid offending people when they feel perfectly free to offend us?"
This reminds me of parents blaming conflicts on the oldest sibling involved. The most mature one is the one who is supposed to know better. (And they invariably whine about how unfair it is - I certainly did!)
If we want to be world leaders, it means we must act responsibly, regardless of the provocation.
Specifically, if we don't want a guerilla war with an entire religion, then we should avoid language that sounds like we are declaring one. There are literally hundreds of people (diplomats) in the state department who would have pointed this out, had anyone consulted them.