It is insurmountably better to have faith than belief.
Belief is conditional whereas Faith is unconditional.
Belief is reliant on things you know (God exists because the wind blows or the flowers grow or because it says so in the scripture) whereas Faith is reliant on how you feel (a deep sense of peace and unconditional love)
Belief makes you question, faith makes you want to submit unquestionably.
Belief is merely a strung in the ladder that you climb towards faith.
In religiosity or spirituality, belief is the start of a journey that hopefully one day will lead you to faith.
Both belief and faith, have a place and a part to play in your life.
In practice, you can have faith, fervour and conviction in your ideas or purpose without any specific beliefs but the reverse does not hold. Beliefs devoid of any form of faith, ultimately frizzle out or get replaced.
We have examples of present and past societies of humans to prove that.
On this earth, over the centuries humans have built societies and social constructs on grandiose ideals and strong beliefs of justice, fraternity, blah blah blah (you get the picture). Where faith was missing or lacking, the same societies over time became rife with injustice, crime, inhumanity and desended into chaos.
Every single time without fail.
Where humans have lacked or lost faith in systems made with beliefs that no longer hold true to them, societies have crumbled.
Faith is like the cement that holds the bricks of your beliefs in place and prevents them from toppling over in a heap.
But can you have a solid wall of just cement or concrete without any bricks? Absolutely.
Faith on its own is enough.
When you have faith in God, you submit to Him not questioning His methods on how your life is unfolding. You take the good, the bad, the pretty and the ugly in your stride. Never complaining.
When you have faith in a system, organization, or government — you stand by it, through thick and thin and make it work for all. Never complaining.
When you have faith in a person, you accept them for who they are, take their flaws as well as their merits and make the association work, for the good of both of you. Never complaining.