I'm turned off by needlessly bitchy women, extremely high-maintenance women, arbitrary nitpicky women, judgmental snobbish women, strongly opinionated women who aren't half as smart as they believe themselves to be, egomaniacal women who think they are God's gift because they haven't figured out that any decent looking woman can get attention from guys if they want to.
but strong women? no. Women in positions of authority, educated women, professional women, intelligent women, assertive women, confident women, women comfortable with their own sexuality, women willing to take the initiative, emotionally stable and independent women... those are all big turn-ons for me.
So it depends on what you mean exactly. In my experience a lot of women who think of themselves as "strong women" are really just the egotistical God's gift or the not-as-smart-as-you-think-you-are variety I described above.