I think it is a personality thing. Some people like Imperials, others like Stormcloaks. All the logic in the world is not going to change anyones point of view. I am the opposite of you. I cannot stand Imperials. They seem like a bunch of petty bureaucrats to me. But I have an Imperial character so I can do the Imperial civil war quests. It's fun playing a character you consider to be a "jerk" sometimes. For me, that would be an Imperial. For you, that would be a Stormcloak.
I have been thinking of doing exactly this with a new Altmer character. I do not have any respect for the Skyrim Era Empire. It is not even a pale shadow of what it once was. But I have been thinking of making her a pro-Imperial. Why should she care about Talos worship? Pfft! An upstart round-ear is all he was. What does she care about Nordic freedom or their culture? They're humans after all! That is like pigs having a culture. At least the Empire knows how to heel and obey their elven masters, as all humans should. With their help all the humans will eventually become obedient slaves.
If I can enjoy playing an Imperial, I am sure you can enjoy playing a Stormcloak. They get to swagger a lot and drink mead, and boast and shout and fight with a big Nord axe. What's not to like?
That sounds like a fun vacation from Real Life.

Sign me up!