This year in particular, NE has been winning by outscheming people and having Brady change the play at the LOS based on the defensive personnel on the field and what coverage they are showing. I don't know how many teams were more talented and more athletic than the Pats were this year, but I would say there were a bunch of them
The Pats are just phenomenal at X's and O's and putting the right chess pieces in the right place at the right time. How many receiving corps are better than Edelman, Hogan, and Dorsett with Gronk at about 70%? I would say half the league.
Certainly the Rams can win the game if they get their play makers on offense in isolation against slower NE defenders. Shallow crosses, pick plays, and wheel routes usually work against NE. If the Rams do what NE usually does and gets the NE linebackers to have to play closer to the line and their defensive backs more on the outside, then the Rams will have the intermediate middle of the field open for seam routes and play action. I would bet the Pats try to take away the run and make Goff beat them, so that should be the plan for the Rams.
IMO, the difference will be that Brady can spot what the Rams are doing at the LOS and Goff may not be able to identify as much or come up with a better option. Also, I think NE will have more up their collective sleeves than the Rams do on offense. I'd be pretty surprised if a special teams fake would work against NE. The Pats are notorious for adding in plays, formations, and things they either never ran before or haven't run in years and adding that into their post season play book.
Just like most games, the Rams chances increase exponentially if they hold on to the football and go up even more if they can get NE to cough up the football. I would be pretty close to shocked if NE won the turnover battle and ended up losing the game.