You forgot to mention they both see Christians as enemies as well.
Under the Koran (Muslim holy book), Christians and Jews can pay a tax and theoretically they will be safe.
Under the Talmud (Jewish holy book), Jews are allowed to cheat, rob, rape, enslave, and kill goys (it's not called murder because a Jew killing a goy isn't considered murder under the Talmud).
Goys are any men and women that are genetically non-Jews (conversion to Judaism doesn't count).
Goy means animal and cattle.
A goy is considered a non-human animal (even though goys look and act human).
In the Talmud only Jews are considered human.