Well, we exercise such power of the material world these days we are pretty much in charge of our own evolution. Frex, many fewer people died from causes related to bad eyesight ever since we invented glasses. This presents a possible problem becuase there is no longer selective pressure to remove that bug.
In the reasonably short term (on the kind of scale we are discussing) IMO the shift will be out into space. It's clear the earth aint big enough for us, and if we stay we'll it and ourselves. Life expands to fill all available niches.
There is a good probability that future 'evolution' will be very uneven. We've had some serious ideas about immortality treatments for at least 30 years now, I remember an estimate placing an effective one at circa 2040. But under prevailing economic circumstances, this will be exclusively the property of the wealthy.
Lastly, if YEC's and similar anti-rationalists were driving the agenda, we would stay here and do nothing, until eventually a big enough rock comes along and wipes us all out. And then the universe will move on without us.