From some web searching, it seems like "shapes our destiny" is the correct version - it's the one I see directly attributed to him. The other variation seems to have been used in secondhand references. I can't yet track down an attribution source. I've made some inquiries via email, but have yet to hear anything. But I want to let you know we are working on it. Below are the links that quote Clinton directly. I wish people would think to put where/when people say things!
http://www.yfcdb.youthec.org/quotes.php?PHPSESSID=238485d28a3f4f9c27c8f31c6a5d5c1f
also:
http://www.etext.org/Politics/Progressive.Sociologists/labor-rap/97/feb97