Of course not, because Italian and Greek immigrants all went to the same public schools, where (in the early 20th century, at least) they read *patriotic* American textbooks & literature. In English.
If Mexican immigrants caused half the mayhem the Italians and Greeks caused in the 1920s we would be putting them on trucks and shipping them back left and right.
That's why I raised the bait - to see if anyone had any recall of why those folks were sbject to such criticism at the time.