Based on opponent winning percentage, the Nets have the toughest schedule among all Eastern conference teams in January, and the 2nd toughest in the entire league, 2nd only to Denver. 12 of the 16 games they play are against teams that have a > .500 winning percentage, and includes the likes of Toronto (twice), San Antonio, Atlanta, Cleveland, and OKC. 10 of those 16 games are at home, however.

OPCT = opponent winning percentage
OORk = average opponent ranking in offensive rating
OODk = average opponent ranking in defensive rating
I do think that they will pick up some quality, 'unexpected' wins. It's the NBA, and they're not the Sixers. No need to overreact to those unless they somehow manage to go on a streak, which I seriously doubt will happen.
Also of note, Dallas has one of the tougher schedules for January out West. It'd be nice if they started losing games, but they appear to be playoff-bound since the West is much weaker this year. Phoenix unfortunately has a pretty tough schedule.
The full writeup is over at NBA.com.
http://hangtime.blogs.nba.com/2016/01/01/january-schedule-breakdown/?ls=iref:nbahpt6c
The Nets also have 3 or 4 more vs. the 76ers, and a bunch left against the Wolves and Nuggets... I'd feel better if they were where they are now having already played those games.
Yeah, that same Wolves team that beat them by 15 in Brookyln a couple of weeks ago. We might as well mark that in the win column for Brooklyn right now.
The important thing is that we beat the Nets the next two games. Beyond that, I'm not worried. They'll win some nights. They'll lose most nights. The other teams beat them in the standings will do the same. While the Nets don't have incentive to tank, they're still bad. And a lot of other teams don't have incentive either.
Consider that the West looks like it might send two sub-.500 teams to the playoffs this year. Those teams on the edge are generally younger teams, like the Wolves, Blazers, and Nuggets, which have incentive to develop their players by trying to win. A lot of teams are questioning the lose on purpose philosophy thanks to Philly. The Suns are slightly older, but management thinks they've built a winning team, and the coach needs to prove it to save his job, so they're not tanking any time soon. Sacramento isn't very good, but if they win the lottery (I.e., pick before philly), they swap picks, so their incentive is muted too.
In the East, it's possible Milwaukee could take a dive and/or make a major trade or two that (theoretically) reduces short-term competitiveness. The Knicks owe their pick to Denver/Toronto (swap with Denver then give remaining pick to Toronto) so they have nothing to lose for. Washington has been hurt a lot this season, so their record is a bit lower than expected. But that team wants to put its winning foot forward for Durant, so they'll fight until they'll eliminated.
Furthermore, a lot of the lower west teams still have 1-2 games against the 6ers themselves. And they play each other a lot, so if they split their games against each other, that provides them each with several more wins. It may look scary to see 5 teams with 10-12 wins, but since they all play each other a ton, they can't all fall in the standings. Maybe one will, but we're still on a top 5 pick trajectory, with a good shot at top 3.