Is Jesus' statement that Satan is the father of the Jews anti-Jewish? “Abraham is our father,” they answered.
“If you were Abraham’s children,” said Jesus, “then you would do what Abraham did. As it is, you are looking for a way to kill me, a man who has told you the truth that I heard from God. Abraham did not do such things. You are doing the works of your own father.”
“We are not illegitimate children,” they protested. “The only Father we have is God himself.”
Jesus said to them, “If God were your Father, you would love me, for I have come here from God. I have not come on my own; God sent me. Why is my language not clear to you? Because you are unable to hear what I say. You belong to your father, the devil, and you want to carry out your father’s desires. He was a murderer from the beginning, not holding to the truth, for there is no truth in him. When he lies, he speaks his native language, for he is a liar and the father of lies. Yet because I tell the truth, you do not believe me! Can any of you prove me guilty of sin? If I am telling the truth, why don’t you believe me? Whoever belongs to God hears what God says. The reason you do not hear is that you do not belong to God.” (John 8:39-47, NIV)

In this passage Jesus seems to be saying pretty clearly that Satan is the father of the Jews. I know a lot of Christians that love Jews, but this verse seems pretty anti-Jewish. Is there some way of understanding this verse to be not anti-Jewish, or are there Christians that do not accept this verse as authoritative?
That is exactly not the point he is trying to make. He is trying to say that it's our actions that show whether God or Satan is "our father" in a very figurative sense. He is saying "You are not the righteous just because you descend of Abraham, if you not also behave like that". Reversing that to say Jews are "children of Satan" in general is basically the thing he tries to refute here, in reverse.