Post doesn't naturally fit here but didn't want to start a new thread.
Strong/Weak vs. Left/Right
Pats generally don't shift assignments based on the location of the TE. Players need to be able to handle both strong and weak side assignments. SILB, WILB, SS, FS aren't super meaningful to the Pats. They do have different positional types (Chung vs. Meriweather, Spikes vs. Mayo) but that has more to do with situations rather than formations.
Defending Gaps vs. Penetrating Gaps
Gap integrity is of paramount importance to the Pats. While everyone seems to fall in love with guys who shoot into the backfield with their hair on fire (Reiss will need a few weeks off to dislodge his face from Clay Matthews posterior), there is a reason why the Pats pass on these guys. Not saying they aren't talented or can't excel in the right system...just saying that the Pats seem to be looking for something else.
Linear vs. Angular
In some defenses, players are asked to get from point A to point B in the least amount of time. No thinking, no hesitation. The Pats look for players who can turn corners after contact, not just beat blocks to the spot through speed. Height, bulk and sufficient functional strength at DE/OLB gives players the "lean" that the Pats seems to value. It seems to be about influencing the backfield on every play rather than blowing up the backfield on a handful of plays.
Base vs. Sub
The traditional formation of NT, 3-4 DE and 3-4 OLB is obviously important but it is equally important to look at roles/responsibilities and not just positions. In base formation, the DL needs to eat blocks and the OLBs need to set a hard edge to turn everything inside. In sub packages, the DL shifts to 4-3 look with the OLBs essentially becoming 4-3 DEs. The critical aspect of sub responsibilities is that the DL has to get pressure on the QB while still maintaining gap integrity. So while 3-4 OLBs have to play in space, it is certainly not their most important responsibility (you would stay pretty sober playing the "Demarcus Ware in Coverage" drinking game).
Zone Blocking vs. Man Blocking
I know people like the "road grader" types and daydream about seeing Pats guards pancake defenders, but the Pats don't block this way. They rely on movement and leverage to create creases instead of straight-ahead power to create holes. This is why the Pats like shorter OTs with nimble feet as OG conversion projects. Also why the Pats need to stick with RBs who quickly recognize and hit creases rather than guys who excel in space.
Add these up and some prospects fit better (Jordan, Sheard, Boling, Ingram) than others (Fairley, Reed, Moffitt, Murray). That being said, Belichick didn't become a mad genius by being inflexible. So while anything is possible this weekend, I would bet on the new Patriots meeting the principles above...as long as I don't have to bet straight cash, homey.