The EPL Needs An Eight Team Playoff

As an American learning to appreciate soccer, I came to realize that the EPL schedule is more fair than any of the American professional sports. Each team plays the other twice, once at home, and once on the road. This eliminates the problems we see in the NBA, MLB, and NFL. Teams with the weaker divisions can prey on easier opponents and increase their win total. This doesn't happen in the EPL and that's a great thing.
However, I can't possibly ignore the fact that the season ends after the regular season. I realize that the top teams play countless Champion and Europa league games, but adding at most, three additional games won't overwork anyone.
Here's what I propose. Take the top 8 teams from the final standings and pair them off, 1 vs. 8, 2 vs. 7, etc. Instead of an aggregate, give the higher seed the advantage and allow them to play at home in a single elimination game. The higher seed will play at home for the first two rounds, and the championship will be held at a neutral stadium.
Here's what the first round of match ups would have looked like from last year:
1. Chelsea vs. 8. Everton
4. Tottenham vs. 5. Manchester City
3. Arsenal vs. 6. Aston Villa
2. Manchester United vs. 7. Liverpool
There's not one bad game in that bunch. In fact, those are all excellent games, and the second round would be even better. You're telling me you're satisfied with Chelsea beating out Manchester United by one point and that's that? No. They should have had the opportunity to battle it out one last time.

Many would say this discounts the importance of the regular season, and I understand that completely. And since the regular season, I believe, is a great indication of how good a team is, Champions League qualifying should still be determined by how a team finishes the regular season. It would be unfair to discount a team's accomplishments over 38 games.
The playoff would simply be a great way for the best teams to go head to head on a grand stage, as well as create the possibility of an upset.
Let's face it, it's boring when only three teams have the possibility of winning the league every year. In the last 18 years, only four teams have won the Premier League. Compare that to 7 in the NBA, 10 in the MLB, 11 in the NHL, and 12 in the NFL. Parody is good. It makes games more interesting and allows for growth in different markets. Four winners in 18 years is pathetic.
Perhaps the EPL should take a page out of the Football League. When the bottom three teams are relegated from the EPL every year, the top two teams from the Football League move up. To determine the 3rd team, the third place team faces the sixth, and the fourth faces the fifth. The two winners then face each other, and the winner moves up. Last year, 6th seeded Blackpool was able to move up to the EPL because of this format.
While the odds were against Blackpool, just like the would have been against Everton last year, they still had the opportunity. The EPL needs to spice up the end of the season and this is the way to do it. The Champions League qualifying and all the other stuff the purists would complain about will remain unchanged.
Hopefully there would be some new teams under the "Division Title" column. For a change.