The fact that the earth contains a molten hot center has not been "observed" but most people accept it based on the surrounding evidence which leads people to infer this. According to the self-same logic as yours, belief in a molten core is a faith. (Though I fear I may be barking up the wrong tree because something tells me YECs don't accept that the earth has a molten core - indeed or a mantle or tectonic plates for that matter.)

I believe that two cups of jasmine tea a day makes me feel better given that my general sense of physical well being typically coincides with days I've had two cups. However, I haven't "observed" the physical changes taking place inside my body to know if this is really true. It's just something I believe based on the data I have. It's something I accept. Is this a faith? Is this my religion?

The fact of the matter is, at the end of the day, it's very clear what is meant by the words faith, myth and religion. It's not science and it's not evolution. Calling it as much is a mere attempt to redirect the accusations lain upon yourself. Even if evolution were disproved tomorrow none of it could be construed as faith or religion, it would simply be a mistake - very much like a mathematical mistake. The people who thought they had the equation all figured out (only to later discover they were wrong) are not "keepers of the faith", disciples of the equation, or practitioners of the divine math gods.

To add to that, the difference between the use of the word believe in the sentence "I believe the color blue matches your eyes quite nicely" and "I believe that there are two gods, one possessing a male Aspect and one a female" are astronomical.