Winner winner, chicken dinner.
If anyone cared to read the full report, you'd see that Goodell made very solid arguments for his decision, even comparing his desired punishment to several controversial NFL decisions in the past, including: Brett Favre's d*ck pics, Minnesota/Carolina's ball-warming incident, New Orleans' Bounty-Gate, and others.
Goodell ultimately decided that the punishment was more in line with PED violations. This comparison was made because "steroid use reflects an improper effort to secure a competitive advantage in, and threatens the integrity of, the game." This is exactly what Brady has done. It's hard to see this because most people don't equate drugs to "ball deflation" but ultimately the goal is the same, which is "to gain a competitive advantage."
I expect any Federal judge to look at this, chuckle a bit, and throw it in the trash. There's no way an injunction is ordered. Brady should really quit while he's ahead.