A stereotype isn't neccessarily untrue simply because it's a stereotype. Naturally exceptions abound, but generalizations tend to have become stereotypes because there is some truth to them. If someone is going to complain about a positive stereotype them bully to them, I don't care. I am free to say it anyway.
I don't neccessarily dislike any group. I dislike any particular members of any group that live up to the particularly negative stereotypes of said group, or at least those negative qualities that affect me and my way of life.
A stereotype isn't neccessarily untrue simply because it's a stereotype. Naturally exceptions abound, but generalizations tend to have become stereotypes because there is some truth to them. If someone is going to complain about a positive stereotype them bully to them, I don't care. I am free to say it anyway. Perhaps. But according to your doctrine, if we accept the positive stereotypes, we must also accept the negative stereotypes.
Not taking offense at the positive stereotypes, while denouncing the negative stereotypes as "bigoted" or "anti-semetic" would appear disingenous. To reserve the right to take offense at the latter you must do so to the former.
I don't dispute there are many common traits that groups of individuals share. If you do not take offense at the negative, then your position is perfectly logical.