my position is the NSA can crack just about anything if they want to devote their resources to it. 1 billion tries a second? pfft they'll run it in parallel in a warehouse of servers the size of rhode island if they're serious
but in order to do that at all, they have to have a copy, yes? they're not doing that remotely, or even with remote access, because any sane system would notice and halt a spike in authentication requests beyond known peak + some margin. so you're likely pwned for a whole bunch of reasons and the password isn't going to save you