Before you can talk about winning your division, you have to consider your competition. The Baltimore Ravens and New York Jets were legitimate Superbowl contenders in 2010, but did not win their divisions. The Seattle Seahawks were a mediocre team at best, but won their division. The NFC East isn't quite the AFC East or AFC North but it is certainly a few steps of from the Sun Belt of the NFL, the NFC West.
The New York Giants were the closest team to the Eagles last season. They finished the year at 10-6,same as the Eagles but failed to defeat Philadelphia despite having the lead late in both games. The Eagles outscored the Giants by 25 points in the fourth quarter in 2010. Last season the Giants struggled with turnovers and failed to close out many tight games.
The Giants had a good draft, on paper, but have an aging offensive line and also that whole Osi Umenyiora situation that won't end well. The Giants have lost to the Eagles six straight times and until the can beat the Eagles, they can't be considered as a division favorite.
The Dallas Cowboys had a disastrous 2010 season. Under Wade Phillips, the Cowboys completely fell apart last season, winning just one of their first eight games. Under interim and now current head coach Jason Garrett, the Cowboys won five of their final eight games. They Eagles and Cowboys played in one meaningful game in 2010, which the Eagles won.
On paper the Cowboys have a pretty good team. Tony Romo keeps putting up good numbers, Felix Jones is dangerous in the open field, DeMarcus Ware is a beast off the edge and Jason Whitten is still an elite tight end. The problem with the Cowboys is the rest of the team is pretty mediocre. The pass protection was awful in 2010 and the secondary was even worse. Jerry Jones won't have any money to play with in free agency as they are several million over the cap already and they havn't even signed rookies yet. Eight wins would probably be an achievement for this team.
The Washington Redskins are a mess. Their two biggest names and biggest contracts, Donovan McNabb and Albert Haynesworth, had their worst seasons in their careers and will most likely be released within 30 seconds the lockout is lifted. John Beck is projected to be the Redskins starting quarterback, enough said. It's more likely Mike Shanahan gets fired rather than the Skins winning the East.