Although it is true that the people who get Gladiator in WoW are probably a tight-knit group of friends, I can confidently say that most of the people who are 2.2k rated or less in WoW were random people who picked each other up in trade chat (or paid someone else to carry them to 2.2k).
It would take, on average, about 30-50 wins to go from 0 ELO to 1200 in my model, then an additional 25-40 to go from 1200 to 1500. This is substantially faster, I feel, than the hundreds upon hundreds of games that you currently need to play now in order to slowly climb to the 1500 bracket.
The biggest problem right now is that people who start rank today are at a disadvantage compared to people who played rank on the first day of the season--all the "good" players are already in their correct ELOs by now, so the only people left to play with at the entry-level are the trolls and people who's true ELO is 900-1200. It is incredibly hard to progress when your system has no way to separate progression from the trolls--my suggested system does, because there's no way for you to "fall" into the troll bracket, you can only progress out of it.
Secondly, it only takes about 12 games to hit 1500 Elo since there is a seeding system in play just like in other games.
Third, it's actually much harder to climb out of ~1200 Elo at the start of a season... this is because everyone is clumped at 1200 at the beginning of a season so the vast majority of players are in the wrong bracket and every game is extremely noisy and hard to predict.