How about a turning point in human evolution that, I believe, is imminently pending.
First, let's consider one important historical development in human evolution.
With the dawn of agriculture, sedentary society, 'civilization' or whatever you want to call it, humans ventured into a new phase of evolution. They attained the unique ability to adapt their environment to suite themselves, rather than having to constantly adapt themselves to environmental or ecological changes that were always previously beyond their control.
In other words, humans alone now have the capability of manipulating their evolutionary course by manipulating the environment in which they are to evolve. And they are currently adapting themselves to their own anthropogenic climatic or ecological change.
In addition, humans are adapting themselves to increasingly complex anthropogenic constructs, such as cities, increasingly complex tools, and new technologies (ie. a human being's ability to use the internet will become and increasingly important factor on human survival). In essence, humans are adapting to 'micro environments' of their own construction, and not only to the macro environment.
However, the completion of this evolutionary turning point is incomplete. Humans have yet to develop the capability to INTENTIONALLY manipulate their environment to ensure their future survival.
Thus, what I see as the imminent future turning point in human evolution is their ability to intentionally alter and 'mutate' themselves for survival. One way would be for humans to be selectively breed / genetically alter themselves to quickly become more suitable for space travel.