Hey,
Unofficially, and I'd rather not be quoted in public on this, we're pretty pessimistic about getting any realistic change to the draft bill. The public is pretty disengaged from the issue — partly because our media environment in the UK is pathetically ineffectual and most of the press considered the Snowden revelations to be The Guardian's story and so simply didn't report on it. Our parliamentarians have always been pretty vulnerable to arguments about being "soft on crime" and "soft on terrorism" and have rarely contemplated anything so radical as "evidence-based policymaking".
Equally, while there's a libertarian strain to the Tories, Theresa May is widely respected within the party. Labour, on the other hand, are often quite authoritarian (see
yet another attempt to reintroduce ID cards this week!), even if they weren't distracted by tearing themselves apart over their party leadership. The Parliamentary arithmetic simply does not bode well for us this time around.
To answer your original question, the gag order would apply to whoever were served with a warrant — that would probably be WMF centrally (the bill also includes claims to universal jurisdiction), rather than a specific project or sysadmin. Warrants would more likely be served on ISPs, though, than content providers like WMF, I would expect.
If there are other questions, I can probably get you answers. But we are not confident at preventing this police-state bullshit this time round, I'm afraid :o(
Owen