That's a slippery slope, how about Baha'i, Buddhism, Confucianism, Hinduism, Jainism, Judaism, Shinto, Sikhism, Taoism, and Zoroastrianism. All these religions affect the mindset of a judge sitting on a bench...
The law and only the law should be the benchmark their rulings are based on...
The Koran is not compatible with freedom and liberty.
Completely agree, so we know she will rule based on the Koran ?
No, but first time she does, she should be recalled ...
That is not a slippery slope.
Not a single one of the religions that you mentioned have scriptures which require that their faithful adherents institute a theocracy with religious courts brutally enforcing their religious decrees like Islam does.
It is not possible to advocate Islam without at the same time advocating a governmental system with authority that supercedes that of the Republic.