“To argue that only Jews, among all the peoples of the world, are not to be permitted to have a national home (or more precisely, to return to their national home) is to deny Jewish peoplehood.”
And Lipstadt goes on to make it clear that by “Jewish peoplehood” she means that Jews are an n-nation.
I have already denied that. Whatever sort of group Jews are, they are not an n-nation, regardless of what they call themselves.
Thus, any arguments by analogy with n-nations fail. The argument “other n-nations are permitted to have national homes, so the Jews should also be permitted to have a national home” does not work.
(And the subsequent “and anyone who disagrees can only be disagreeing from anti-Semitism” is unfounded.)
But I will set that aside, and discuss the “national home” idea without assuming that Jews do not qualify.
First, we need to know what is meant by “national home”. Given the context, it seems she means “a territory in which the n-nation has established a state”.
Now it is obvious that there are n-nations which have not established a state, and I cannot imagine that even Lipstadt is unaware of this. For this reason I suspect she means something on the lines of “Other n-nations are in some way entitled to establish a state, but anti-Zionists deny that the Jews are so entitled. (Because they are anti-Semites, of course.)”
I cannot see what characteristics of n-nations entitle them to establish states.
A common language and a common culture are certainly good things for a state (the slogan “diversity is strength” is both fashionable and official, so it can hardly fail to be complete bollocks) but they are not necessary* and are not sufficient to give a right to establish a state.
(Provided there is fair amount of agreement on key issues and values, states can function reasonably well despite diversity. Canada and Switzerland manage adequately even though portions of their populations speak French!)
If there is no entitlement or right for n-nations to establish states, then it is not anti-Semitic to deny the entitlement to Jews.
But regardless of whether there is such a right or entitlement, or whether the other n-nations which established states were permitted to do so without having the right, the denial of permission to the Jews is still not anti-Semitic.
There is no right to do wrong.
Permission should not be given for wrongdoing.
And Zionism involved major wrongdoing. The aim of the Zionists was to invade Palestine and take it from the native inhabitants. To deny that they had a right to do this, or to deny permission, is simple morality. No anti-Semitism involved.