Yes we will.
Assuming the squads stay the same, start with the easy ones:
Liverpool - same as this year, 6th at best.
Arsenal - no chance, don't have any match winners and lack belief.
Spurs - have one match winner, no squad and no strikers.
Then:
Chelsea - we can beat them at will, lightweight midfield, no strikers.
United - problems with Rooney, over reliance on Van Persie, ageing centre halves, no Ferguson.
City - Best first eleven, will score more goals, will play more expansive football, squad more harmonious, have a point to prove.
Obviously the dynamics change if the squads change, but then every team has the same problems in bedding them in, signing the right player for the right position, etc. It's not that easy to just lump a load of players together and expect it to work re Mata, Oscar, Hazard. In terms of new managers, United can only be weaker, Chelsea probably stronger, City? Fuck knows!!