His defense of Jews says "they will ever zealously struggle for the Rights of the Crown and the Riches of the People, and that they will never cause any Persons to be circumcised against their consent;"
What?
If Ben Israel felt he had to say that to a general British audience, that means that this must have been a somewhat widespread fear among British antisemites.
I found corroboration from a book called "Marked in Your Flesh: Circumcision from Ancient Judea to Modern America" by Leonard B. Glick. It shows a lot of satirical opposition to the "Jew Bill" to allow Jews to re-enter England but it mentions that some took this fear of forced circumcision very seriously.
I found a copy of the satirical newspaper describing a future England ruled by Jews - including advertisements. It is grossly antisemitic, and I do not get all of the jokes, but I have to give credit for the entire concept of a satirical newspaper 100 years before Punch, 200 years before Mad magazine and 250 years before The Onion. (The Gloucester Journal, Oct 16, 1753)
It is worthwhile to note that the far-Right antisemites like the editor for The Daily Stormer hide their hate as just jokes - a conscious decision to spread hate while pretending to the larger world that they are not to be taken seriously.
UPDATE: Another satire, this one from a flyer posted outside a building:
And this is a serious list of reasons why Jews should not be allowed into England, with one of them the fear of circumcision.