I truly believe this only happens when we live by the all sufficient Word of God. When we are obedient to His word by His power the world will notice. We do not have to try and be different as if we just seek to live as God commands that will stand in stark contrast to the world around us and be noticed. Now this notice may bring a blessing such as with the treaty with Abraham and Abimelech or it may bring the blessing of persecution as the Apostles and the martyrs down through the ages have experienced. But a life lived that reflects God is with us will be noticed.
Living a life that is seen by the world as revealing God is with us is a life of worship to the one that has called us to Himself. Let us live such a life.