Alceste, I speak of true phobias rather than pseudophobias.

They are 1) Overwhelming. 2) IRRATIONAL.

It might well be that you suffer from Musophobia, an overwhelming and irrational fear of mice which would be manifested by you leaping screaming into a chair or rushing out of the room in a panic.

Do Islamophobics  scream and jump onto a chair on seeing a Quran or run screaming out of the room?

Again, Islamophobia is an overwhelming and irrational fear of a belief system and not of a follower of that belief system.

A hater of Muslims would be better described as a Misomuslim.

A hater of a Muslim for being a Muslim should be condemned just as one should condemn the hater of a Christian for being a Christian( a follower of Christianity).

For my part I'm a atheists...there are many Misoatheists out there...and they don't bother me in the least...of course there are those believers in a certain belief system who are rabid Misoatheistic and want to chop off the heads of atheists.