Hmmm. I don't think being a strong female and a sub as well means you're inconsistent in your beliefs. I consider myself a strong person (though I might not label myself as a feminist, per se) and I sub as well. Seems to make sense to me - subbing requires a good deal of strength and control.
PM if you wanna, I can tell you a little bit more about my journey to the place I think you're trying to get.