Revere means to respect someone so deeply that you almost worship them. Many Americans revere civil rights activists like Martin Luther King, Jr. and Rosa Parks, who worked to make the country a more just place.
Revere is related to the words reverence ("to hold something in worshipful awe") and its opposite — irreverent. Reverence for the irreverent is actually possible. Howard Stern humor is often vulgar and absurdly irreverent yet his legions of fans and even some media analysts revere him and his ability to maintain a loyal audience. Revere is the perfect word when respect is not strong enough but worship seems a little too religious-sounding. Rock stars, for example, are revered by throngs of devoted fans.