I don't know that much about the Jesuits, but that they were formed during the Reformation as a Catholic Counter-Reformation. Most Protestants don't know much about them either. Since I am from French Huguenot descent I do know about their involvement during the French religious wars.
The current anti-semitism is coming from two other Catholic groups. The integralist and ethnonationalist. They are really well funded and organized.
'the replacement of evangelical Protestant political theology with a Catholic integralist or ethnonationalist framework that views Jews, Israel and Protestants not as covenant partners but as adversaries of Christian civilization.' Source:
https://x.com/DefiyantlyFree/status/2029681200189636717
So in essence it is a fight to remove the Protestant world-view from the Republican party and America.
At the founding of the USA the population was 99% Protestant and the first Amendment was created to prohibit the Federal from choosing one Protestant denomination over the other (even though it wasn't prohibited on state level). For the Catholics to live in this world-view they were relegated to being just another denomination. This is one of the major objections of the integralist see this as a Protestant error to be corrected. They basically want to return to a pre-Vatican II era.