My friend had a Catholic show on a shared radio station.
She also had the rosary prayed. Almost every day two fellows from a Protestant sect would come in during her lunch break and bombard her with all sorts of anti Catholic things.
She finally said, 'Enough! I want to eat my lunch! Please leave!" and they finally did. When people are in that kind of momentum, you really cannot address their passion.
This is, frankly, the clearest and most direct response to this thread.
As a parish priest, I always discouraged ANYONE in my parish from doing what the original poster proposes (attempting to “shut up” these sorts of people by throwing Bible verses at them) or what various others on this thread propose: attempting to engage in debate those who are viciously attacking the Catholic faith.
Indeed, the Catholic faith can never be reduced to a few passages from the Bible. It is an elaborate tapestry derived from Sacred Scripture AND Sacred Tradition which together form the deposit of the faith.
Those who belong to these sorts of groups and who undertake these exercises are typically well-trained in proselytism, often for the purpose of specifically targeting Catholics who are not able to immediately respond to their various allegations. Thus, in confronting them one is playing with fire. If you have education and training superior to theirs, yes you can actually rather easily refute what they allege.
Many people, however, are actually not suitably prepared to engage in debate those who have been specifically trained to present very narrow arguments and what are, really, very biased and incredibly flawed arguments. In such circumstances, those attempting to respond are at a significant disadvantage.
The entire goal of those making these anti-Catholic arguments is to convince you that your faith is misplaced. Regardless of whether or not these people are acting from good will, what they seek is to do is what amounts to grave spiritual harm.
Personally, I have always counseled my parishioners to simply respond to those who arrive on the doorstep that “proselytizers and other peddlers are not welcome and need to leave immediately.” Jesus Himself sets the example in His confrontation with Satan after His fast of 40 days. He does not attempt to out-argue the devil who quotes, to his advantage, passages from the Sacred Scripture. Rather, Jesus simply rebukes the devil and dismisses him.
One should certainly study the faith and come to know better what the Church teaches but one should be extremely prudent about attempting to debate those who have set as their mission in life the effort to sway people from the practice of their Catholic faith. They are a danger better not engaged.