You are not taking into account the realities of the salary cap with regard to spending even more money in unrestricted free agency, especially at the wide receiver position.
Miguel's UNOFFICIAL 2014 Patriots Salary Cap Information Page
In order to re-sign Aqib Talib, the New England Patriots will most likely,
at a minimum, have to shell out a contract comparable to Ike Taylor.
» Over the Cap- Top NFL Contracts: Cornerback
For the New England Patriots to free up $7 million in salary cap space for Aqib Talib, the New England Patriots would need to cut Tommy Kelly, Isaac Sopoaga, Adrian Wilson which adds up to salary cap savings of $6.167 million. The defensive tackle position prior to draft would be the following:
Wilfork, Armstead, Siliga, Jones (Chris), Vellano, Grissom
If the New England Patriots offer a three contract extension to Gostkowski and convert his current $2 million base salary to a signing bonus, the New England Patriots will save an additional $1.5 million in salary cap space for the 2014 NFL Season.
For a total salary cap savings of $7.667 million, the New England Patriots could most likely re-sign cornerback Aqib Talib and linebacker Dane Fletcher.
Furthermore, long snapper Danny Aiken will be a restricted free agent and the lowest tender for the 2014 NFL Season is $1.389 million.