* The Nazis hated all traditional religions, especially Christianity and Judaism. (FYI, the Nazis murdered tens of thousands of Christians and thousands of priests and nuns.)
There were many Nazi Party members who subscribed to various forms of Christianity, and even a few Jewish members running around. They even tried to create a Nazi-friendly Christian denomination which recast Jesus as a Germanic warrior priest.
* The Nazis were huge believers in Darwinian evolution, and in fact used it as a major part of their Holocaust ideology.
While it's true that the discovery of evolution was a major factor in popularizing the eugenics ideas which ultimately led to the Holocaust, it's still a basic biological fact that must be accepted as part of a well rounded education. Not to accept evolution as factual would be like denying germ theory.
* The Nazis asserted the right to replace and appoint priests and pastors and/or to shut down churches that they believed were teaching "harmful," "dangerous" principles.
Yes. Every totalitarian group has attempted to control education. US liberals have had our educational system locked down since the 60s. They're not the only group interested in this though. They were simply the successful one. The Young Earth Creationists would love nothing more than to usurp them. I should point out that, regarding the replacement and appointment of priests, fighting the Catholic Church for the right of secular investiture is kind of a long standing German tradition. It didn't start with the Nazis.
* The Nazis targeted private Christian schools to prevent children from being taught traditional values and beliefs.
Again, this is more to do with Nazi ideology's totalitarian nature than its exact beliefs.
* The Nazis insisted on total control over education. All school curricula had to be approved by the national government.
Yuhuh. Communists did this too. So did the Fascists, and Franco's far right Spanish regime.
* The Nazis more than tolerated homosexuality in their high-ranking circles. In fact, many Nazi founders and leaders were gay. There is evidence that Hitler himself was gay and later bi-sexual. (It's true that the Nazis publicly condemned and persecuted some gays, but this was a smokescreen to hide their own perversion and to target enemies who happened to be gay.)
Conspiracy theory much? I think we're safer taking the word of former party members and records from when the party was still in power than those of a partisan crank on the internet.
* The Nazis believed that the government had the right to regulate or take over any business that it wanted to regulate or own.
Say it with me: So-shul-ist. They were a totalitarian socialist party. Of course they believe the workers control production through the state.
* The Nazis rejected traditional values.
Actually, there is some real truth here. It's not what you think it is, but I'll leave you to read up on the real conflict between the Nazis and old aristocracy.
* The Nazis sought to impose abortion on women who were "non-Aryan." They had no problem with abortion per se, but they didn't want "pure Aryan women" having abortions. When the Nazis came to power, they loosened Germany's anti-abortion laws.
This was a product of their eugenics ideals, which were almost universal among educated Westerners at the time. Hell, Sweden didn't stop aborting the unclean minority babies until the 70s.
* The Nazis banned gun ownership for groups they believed posed a threat, especially Jews, and they insisted on national/universal gun registration. Most ordinary German citizens could own guns if they so desired, but the Nazis claimed the right to ban any group or person from owning guns if they felt the need to do so.
We don't have universal gun rights here either. You have to have a license if your jurisdiction requires it. You can't carry it around wherever you'd like. You lose the right to own one if you've ever been convicted of a felony. I could go on.
* The Nazis rejected federalism/local control and sought to centralize all power in the national government.
The actual history, structure, demographics, and politics of Nazi Germany makes for very interesting reading. I won't spoil it for you, but I will highly encourage you to read what it was really like instead of pulling shit out of your ass and setting it up as a strawman.