Ephesians 3:17a That Christ may dwell in your hearts by faith
Abraham is the father of three faith based religions. They are Judaism, Islam and Christianity. How they differ is not so much the source of their faith but rather what they do with that faith.
Neither Judaism nor Islam invest their faith but rather rest on it. They will do what they feel they are commanded to do for religious duty with the expectation that all that happens depends on God to watch over their wellbeing. Neither believe that God should even dwell in man.
Christianity on the other hand invests their faith in Christ. Placing their faith in the works of the Cross of Christ and accepting that free will offering brings them to a position of right standing before God. Having dealt with sin judiciously God can then dwell with man.
The purpose of God dwelling within man is for God to exercise His grace, His will and His love through His children. Others will come to know Christ through the exercise of faith in us. We do not wait on faith we exercise faith.
Matthew 5:16 Let your light so shine before men, that they may see your good works, and glorify your Father which is in heaven.
John 8:12 Then spake Jesus again unto them, saying, I am the light of the world: he that followeth me shall not walk in darkness, but shall have the light of life.
Only Christ offers this by faith.