The five-sided Star of David
The symbol of faith can change from religion to religion as well as person to person. In Christianity, a symbol of faith is the crucifix.
The Crescent Moon and Sword is a symbol of Islam, it has no meaning in Judaism.
No symbol per Islam religion.
No religion HAS to wear a symbol, so no, not all followers wear a visible sign of faith.
Judaism was established by Jehovah God.
Usually a symbol for the religion or faith in same or symbolic of his sacrifice
It is the Magen David or Star Of David for the nation of Israel. It is the menorah for the religion.
Probably, most religions of the world, both primative and modern have their own symbols of faith.
신앙 is the Korean symbol for faith.
Reiligiún (religion)Creideamh (belief, faith; religion, creed)as in An Creideamh Caitliceach (the Catholic faith/religion)An Creideamh Protastúnach (the Protestant faith/religion)
I'm not sure what you mean by "judaisms," do you mean Jews? And what exactly do you mean by their "connection to the world"? Like how Judaism was the first monotheistic religion to ever exist? The impact that it has had on societies? This seems a very open-ended question.
Faith is what you believe in; religion is how you practice it.