Ultimately, someone needs to have the keys, and they do, which is why they go through additional screening. Since there's a whole team, they would either have to collude or cover their tracks very well. Considering a major part of their job is keeping our data and our users' data safe, a breach like that would not be taken lightly.
So ultimately, it may be possible for one to snoop on our users, but it's much easier to trust (and keep tabs on) a small, well screened team than the entire company.
Speaking personally, I can say that I would (and do) absolutely trust my own data to our sys admins.