Higgs never coined that name
In order to make this post get big relevant I will go out and reveal :-) that it was a Jew that came up with that name
You are correct. My bad, it was Leon Lederman, who wrote a book, originally titled "The God-damn Particle" (again, with the name hinting at the frustration associated with detecting the particle experimentally) who then shortened it to "The God Particle" which stuck.
As I said, poor moniker.