For about the umpteenth time (and I will keep repeating it ad nauseam): A phobia is an unreasonable or unwarranted fear. It is neither unwarranted nor unreasonable to fear a system that demands you to be subjugated, enslaved or killed if you decline to adopt it and killed if you leave it. So Islamophobia does not exist.
Thats like rattlesnake phobia or democrat phobia. Not unreasonable at all...in fact prudent!
No, it DOES exist - there's just nothing wrong with being islamophobic. You said it yourself, fear of being "subjugated, enslaved or killed if you decline to adopt it and killed if you leave it". THAT is real fear; thus islamophobia.