Scurrilous opponents of Calvinism sometimes try to tar Calvinism by associating Calvinism with the infamous Fred Phelps. But keep in mind that according to Calvinism, it's quite possible to profess the doctrines of grace without possessing the grace of the doctrines. So even if he were a professing Calvinist, that wouldn't mean his life is a reflection of his creed.
But according to his estranged son, Nate Phelps, this is what Fred Phelps believes:
This doctrine is very important to understanding the Westboro Baptist Church. My father, and those who follow him, are not preaching to try to convince people of their truth. Unlike street evangelists, who are trying to convert people, my father has no intention of converting anyone, since conversion is impossible. You’re either chosen, or you’re not. To illustrate, in the mid 90’s my father was a guest on a radio talk show hosted by a popular Christian apologist named Rich Buehler. Mr. Buehler suggested that my father’s failure at bearing any fruit from his evangelizing efforts might point to some error in his theology. With typical aggresion my father barked back at him: “That’s not the test!! The test is fidelity in preaching!”
Needless to say, that's not Calvinism–that's textbook Hyper-Calvinism.