At times YES! I often am provoked by those kind of people especially when they are trying to impose their beliefs on me. As rude as it may sound but what I usually do to handle such situation is just to simply let them think that they won the argument. It might not be the best way but believe it or not there are people whose beliefs are so strong that they will deny and alter all facts presented just to favour what they are believing.

This honestly reminds me of the psychology term  Cognitive dissonance. One first real example of the application of such term was the "cult members" who believed that the world will be destroyed by The Great Flood. A lot of people back then were so obsessed with their faith that they left their homes and jobs and went to relocate to a very high place to have a great chance of survival if and when The Great Flood comes in. Obviously The Great Flood didn't happen, but what those fanatics did was re-interpret the facts and even say that they were right all along, it was because of their faithfulness to the cult that The Great Flood didn't happen, so people should be thanking them not mocking them.

You can try as much as you want trying to explain to these kind of people that they might be wrong, but if you noticed that they won't even budge and won't even take a minute to think and re-evaluate things then I highly suggest to just ignore them. As long as you already presented all facts and evidence to them then your duty is done.