Yes, it is. I know a number of liberal journalists who work at the WSJ and would never work at Fox and definitely wouldn't give a conservative tilt to their stories.
I know someone on staff at the Wsj, and know their political views. I have seen their reporting and it is generally balanced. Yes, the papers always have an editorial line they are following, but it's not necessarily biased to push a view, but more so to match their buyers. Running a newspaper is not a public service for the Wsj.
The big surprise for most people is that people at institutions like Wsj and ny times try and be as professional as possible. They aren't acting like click bait interns at gawker.