If the Cards win today and Warner is the MVP of the game, he will deserve and receive serious consideration. The only retired, modern era QB with two or more SB wins who is not in Canton is Joe Theismann, probably because a lot of people don't like him and one of his rings came in a strike season.
Just to add a few facts to the discussion, here is how Warner's career stats stand up against the average stats of the 17 SB era QB's who are in the HOF today (anticipating the comment, I know that Averages that cross multiple eras of officiating and on-field rules changes are flawed, but they are at least a starting point):
Games: Warner 110 ; Average of 17 HOF era QB's 192.
Attempts: Warner 3,557; Average 4,936.7
Completions: Warner 2,327; Average 2,861.6
Passing Yards: Warner 28,591; Average 36,683.8
Yards per Attempt: Warner 8.04; Average 7.46
Completion Pctg: Warner: 65.4%; Average 57.7%
TD's: Warner 182; Average 245.9
INT's: Warner 114; Average 191.5
TD/INT Ratio: Warner 1.60; Average 1.32
Pass Rating: Warner 93.8; Average 81.8
Fumbles: Warner 91; Average 79.9
Fumbles/Game: Warner 0.83; Average 0.42
Rings: Warner 1.0; Average 1.4
Bottom line for me: without a second ring, he won't get in. With a second ring, there will be a lot of noise to let him in.