The latest buzz is that the BART extension and the SFO peoplemover will open March 3.
There is a desire that they open together, for publicity reasons.
BART is essentially complete, the last of the ticket machines have been installed, and test trains have been through, many times. Like many transit agencies, BART is unionized. This means that train drivers (operators) bid every month, or quarter, for assignments. If you notice, most transit agencies change schedules, open lines, etc., on the first Monday of a month, or quarter. This makes the bidding process easier, and minimizes overtime pay, which is what happens when special trains, or extras, happen mid-month. Sometimes, there's not much management can do, but, if they have the chance, they do this stuff at certain times, for scheduling optimization.
Similarly, the union has to be told "first". That means, no official press releases will come out of BART, until the union gets a few days.
The critical path has been the people mover. This is a standard Bombardier C-100 system, but has had a few glitches. They need a clear 30 day test, with no accidents, fires, etc., to sign off. This test is about half done, and has gone well. When it's done, in a week, or two, then BART will use that info as the start of crew change notices for BART. However, the two systems are independent. It is typical for both BART, and other people mover installations, to be unfinished on opening day. Lots of cosmetic things like signage, advertising frames, parking lot stripes, pay phones, etc., to be missing on opening day. However, all that stuff is going on at BART stations now, and they will be mostly complete on opening day.