Why aren't there any black Amish?

The Amish are primarily a german group. People could convert, but they explain in the film that it's not really possible to convert, you have to be born into it. It also explains the fact that they still speak Pennsylvania Dutch (aka German) in Amish communities.

I did see a family once who were probably Mennonite (not the same, but similar) with a daughter who was presumably adopted, and looked to be of Pacific/Asian ancestry.

"Come on, pelican!"

any religion or race that doesn't let people to inter-marry are discriminative

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Some correct things have been said before, I only want to add that the Amish would probably LOVE to broaden their genom, since they suffer pretty badly from inheritable diseases because of their almost incestuous relations. (Don't mean to insult anybody. The point is: This is not ideological, but an unwanted side effect of their cultural isolation.)

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There have been some Amish sect groups that are all African Americans. They live as the Amish do and shun technology. I believe they are on the outskirts of Illinois. I grew up in Ohio that has the highest population of Amish and I have always had very pleasant relationships with them. They are always surprised that people find them so fascinating.