It has been my experience that people who dismiss infallibility do not have the slightest idea what it means.
Very true, and they do not care to even learn about it, or understand why Catholics believe in it.
It has been my experience that people who accept infallibility do not have the slightest idea how few times in 1000 years it is claimed to have been exercised.
Seems to me that an office which claims for itself the ability to infallibly speak God's word is being kind of stingy if it only does so a handful of times over a millenium.
Maybe it's because current popes have declared past popes to be WRONG or HERETICAL so many times that infallibility is so rarely claimed.
History. Check it out.