In 10000 years I predict the human race will be extinct, in fact possibly well before that.
I just don't see the human race reaching the Star Trek standard universe even if we're given 500 extra years. We're just too stupid as a species and will be wiped out by either war, a virus, a comet, God whatever.
But if we do survive that, yah, I guess we'll be able to see the interior of Jupiter.
And perhaps keep tab of that colliding black hole.
Here's something to think about, when we observe these two black holes, do we keep into account their local time in the universe? If we're just merely observing these things, than depending on far away these objects are, the collision has already taken place. Now to play the waiting game...