This is disingenuous. I've been exposed to alternative viewpoints, saw what I consider obvious holes, and either expressed disagreement or disregarded them entirely. If someone can convincingly (from my perspective, not theirs) illustrate a flaw in my reasoning at that point I have changed my mind by definition of it being convincing.
When people say thing like "other people aren't interested in changing their minds" what they really mean is "other people didn't find my arguments convincing".