It not wrong though. A lot of right wing ideology requires being okay with cognitive dissonance from compartmentalizing opposing views meant for different scenarios. It’s a legitimate point.
You're not wrong exactly, but you just described human nature. All of our brains work that way by default. It's much harder to see for your own side, of course.
How come that LGBTQ people are concerned about their rights and then support most intolerant Islamist regimes, who would slaughter them on spot?