Ooo, tough call. I grew up with Trekkie parents (they had the uniforms and everything), so Star Trek: The Next Generation is part of my childhood. Politics aside, the show was imaginative, intelligent, and had a great cast. And it had the Borg, and my favorite Star Trek character of all time, the incredibly obnoxious Q.
But Star Wars is... well, Star Wars! Darth Vader is possibly the most iconic fictional villain of all time. And outside of anime, you will never see a warrior with cooler moves than a Jedi.
Personally, I go with Star Wars, mostly because I love the Jedi. There's a lot to learn from them, and I think some of their philosophies have helped me grow as a Christian and a person. One Jedi belief I learned form a Star Wars book is that guilt is a form of selfishness, and that you should simply alter your wrongful behavior rather than wallow in feelings of guilt. As a person who has often felt false guilt, that really spoke to me. If God forgave us, then any guilt we feel after we have confessed our sins is just a new way for the Devil to getcha!
Not saying either one is without flaws, or that either one isn't amazing. I just prefer Star Wars.
Also, I love robots. Star Wars has more robots than Star Trek, even if Data and Lor were amazing characters.