IMO nothing makes more difference in sound than strings. If it's too bright you want more mids and low end, my suggestion is to install flats and roll back the bridge pickup a bit, leaning more on the neck pickup. It may take a couple of months to settle in, but it will definitely sound different.
Full disclosure: I am a Fender player and fan, and I am a habitual flats player. My preferred string is the Labella Deep Talkin' flats, light gauge.