Growing up is being able to hear an opposing viewpoint without automatically dismissing their intelligence or morality. Growing up is understanding that no one is immune from the influence of their peers, upbringing, or background. Growing up is engaging in a constructive conversation instead of shaming someone into silence or unfriending or firing someone in a knee jerk manner. Growing up is accepting and appreciating our differences in thought and understanding that the vast majority of people actually mean well.
Are there limits to this line of thinking? Sure, if someone is being a completely disrespectful asshole, that's when they deserve to be shut down. If someone puts forward a thoughtful essay...even a half thoughtful essay...even if that rocks you to your core...growing up is realizing that even your values are not absolutely correct.
Discussion is the only way we ever get to engage with other points of view. Discussion is an invitation and opportunity to be persuaded otherwise.