A friend of mine described the difference between belief and faith quite nicely once.................
He said that if I see an advertisement for a product (say......laundry detergent) that promises me to get my laundry the cleanest it's ever been, and I decide to go and buy it based on the advertisement, never having used it before............that's "faith". I have faith that the advertisement told me the truth, even though I never used it before.
But....................after I buy the detergent, use it, and see that it gets my clothes cleaner than the stuff I was using before, then when I go back to the store for the same detergent, I'm not going there on faith, now I'm going there on belief because I've actually verified that it works for me.
If it doesn't, then I know the ad lied to me, and I will never believe their advertisement again.
Same with religion. Someone tells me that their belief system will work for me because it's done wonders for them, then I go ahead and try it to see if it works for me. If it does, then I now have belief in that particular system because I have proof in my own life. If it doesn't, then I go searching again for something that will work for me.
God really doesn't care what vehicle (faith/religion/belief system) that you use to get to Him. He just cares that you get to Him somehow. Whether you come from the East/West/North or South, all paths lead to the top of the mountain. Some are just easier than others.
That's why I never disparage anyone's belief system if it works for them.