Honestly, rank doesn't really matter all that much in DRG. Ranks 1-25 get all the standard character unlocks, then you do a promotion assignment which resets your rank to 1, but you keep all unlocks and get an extra active perk slot.
After the first promotion, all further progression is completely independent of rank. Further promotions will give you a couple of new weapon overclocks, but those can also be obtained through normal gameplay via weekly assignments and/or Deep Dives.
So yeah, I wouldn't worry too much about anyone falling behind or racing ahead in rank. Even before the first promotion, the only real difference is that someone might have a few more unlocks that might make them a bit more efficient, but it is absolutely not a barrier to playing together.