If not having faith in Buddha, Dhamma, Sangha, such would not valid allow the use of "Buddh(a)ist" per definition of the Buddha.
"Should I have faith that it will come true?" vs. "Or should I just do what I think is right?"
If seeing that there is not different, than one has actually faith, but just to the amout of the quality of "think that is right". Now for more better than used, one has to open ones faith in doing good more than used.
There is not a single action, all of the time, that does not require faith at first place, that expected results will come by it. Each step, each word, each taken on thought. Only an Arahat acts on knowing as he has no more what he desires to gain.
As for wishing to be a Buddhist, better do Buddhist, it requires min. faith into Buddha, Dhamma and Sangha.
Saddha increases and gets firm only by practice, doing and by no other way: Dana, Sila, Reflecting the Dhamma. And without faith, doubt (one of the 5 hindances), no progress or even worse.
Nothing is more importand as to associate with people of less to no doubts to gain required faith. Something that is surely hard to gain if under people who didn't left home.
Faith, Saddha (meaning willing to sacrifices toward skillful) is the primare cause of the "depending co-disappearing", e.g. gaining path and fruit.
joy has conviction/faith as it's prerequisite...concentration...release has dispassion as its prerequisite, knowledge of ending has release as its prerequisite."
More on the huge importance of faith:
- "For a lay person, there are these five rewards of conviction. Which five?
- Respect, Confidence and Patient
- Faith In Awakening
- Refuge: An Introduction to the Buddha, Dhamma, & Sangha
- The Truth of Rebirth: And Why it Matters for Buddhist Practice
or
- A Look at the Kalama Sutta
(Not given for trade, exchange, stacks or what ever binds, is for bounds, but as a tiny door for an exit from the wheel)