The Patriots always seem to be one step ahead of the curve. It's become more obvious that a pass rush alone won't help against a quick, short passing game. How often did Tom Brady actually take more than three seconds to throw a pass in the season finale against Miami? It's all about getting the ball out quickly to fast receivers who can make yards after the catch. A three yard pass becomes an eight yard gain.
That's not to say Miami doesn't need to improve the pass rush, but I'd focus on linebackers who can tackle. I'd also look to add a top flight safety and maybe go to a 4-2-5 defense with three safeties.
Obviously it's not just about beating the Patriots, but the blueprint for attacking Miami's offense is so basic. Run the ball, quick short passes and some big chunks plays now and then in the middle of the field.