Another song popular on the radio that season was "Saints Go All The Way." It was sung to the tune of girl-groups during the Motown era. Very Supremes-like, if I remember right.
I count myself a fan since 1982, the first full NFL season I remember as a kid. I remember watching 1983 unfold -- the birth of the Who Dat song, the unfortunate finale vs. the Rams when Bum didn't let Morten try a long one (watched that one at my grandparents house). It was around that time my grandfather -- a longtime oilfield worker -- began to say he could gather up a bunch of iron workers and field a team that could beat the Saints. In those days, he was right :) But 1987 was special because it was the first time I can remember watching the Saints with full confidence that they'd win a game no matter how they started. Of course, the old Carl Smith offense looks downright prehistoric compared to Payton's Machine. But it still brings tears to think of that magical season.