Not at all. I think both your country and mine should do all we can to screen immigrants in order to keep out terrorists and other killers, or people who would be likely to harm our people in some way.
What I do think would constitute Islamophobia would be make a law that would banish all Muslims from entering our countries. I can understand the mind set of those who would support such a law; it’s human nature to paint all people in an ethnic group with the same brush. During both world wars, some citizens of both our countries treated people of German descent badly. Just a personal example: one of my great uncles was a pastor of a church in United States. Because he had a German surname and took a non-resistant stance, it was falsely believed that he was a supporter of Germany during World War 1 and he was dismissed from his position as pastor.
Yeh… the fighting Irish, the tightwad Scotch, the lazy … the drunken…, etc. etc. etc. It’s human nature to generalize.