There is a great difference between 'Religion' and 'Faith'. Religion means spiritual guidance for a race or nationality - and doesn't provide guidance for all the stages of human life - such as Judaism, Christianity, Hinduism and Buddhism.
Faith is the Divine guidance which covers all aspects of human life - from birth to death and from church to the White House. And it needs to be practiced by the Messanger of that Divine Revelation - such as Islam.
However, belief is something which doesn't accept human logic. For example, Dr. Funk, who wrote that 80% of quotes in the New Testament are not the statements made by Jesus - but in the conclusion he wrote: "However, I believe the Bible is Word of God".