Many of them are deeply entrenched in old Beltway thinking, which leans towards worship of Reagan and center-right bipartisanship (Dean Baquet, etc).
For the later generations there's also deep self-consciousness about being seen as 'elites' and not feeling masculine/genuine enough - hence, they hew towards conservative framing of the center-right being more 'true American' and Democrats being 'wimps.' They don't want to be wimps or be seen as not genuine, so they first unconsciously and then increasingly consciously adopt GOP framing of issues and disdain Democrats and liberals and their ideas. That's why everybody asks Democrats 'how you gonna pay for it??' and never the GOP - because in a lot of media's minds, the right is the 'fiscally responsible' party and Dems are just dreamy wusses. Many of them don't fully realize they're doing it.
The biggest issue behind what the NYT is doing though is that it's at war with itself and deeply cognitively dissonant. It wants laurels and applause for reporting on Trump and being the proud journalistic 'resistance' - and they do have good writers doing good stories - while simultaneously desperately still trying to curry favor with conservative readers and prove they are 'bipartisan' and 'not elite' with cooked op-eds and headlines favoring right wing framing, and also still having deeply enmeshed, co-dependent, sympathetic access relationships with much of the Trump White House to do stories. This goes triple for people like Maggie Haberman, who has been covering Trump since her days with Page Six in NYC years ago and has had a symbiotic relationship with him when she was just a society journalist. They're too close for comfort.
They want it both ways - they want to be seen as the elite in journalism, want praise for courage from the left, acceptance from the right, and to never have to acknowledge any liberal complaints - but don't want to admit it.
Speaking of tawdry gossip: