Yes.
You're belief is essentially your core, and without it, you would not survive. It is not a true belief if you are going to give it away easily. Ever heard of the question, "What is the meaning of life?". What everybody finds is the meaning is extremely different from everyone-else.The meaning is shaped through your actions, beliefs, your influences, and even nature. Without 'beliefs', you are empty inside.
As the quote says: "Yet when I considered all the works that my hands had accomplished and what I had toiled to achieve, I found everything to be futile, a pursuit of the wind; there was nothing to be gained under the sun."
Without meaning, you would think everything is rubbish, and that you had no purpose in life.
How do you find purpose? You find purpose through your own core beliefs, as well as those around you. When everyone's beliefs has a positive aspect to it, humanity is able to grow for the better, and everything would work out well. If the beliefs of some are not right, it would destroy themselves and possibly others too.
Personally, I would sacrifice money, comfort, and security, for what I believe in, because it is a part of me. If i sacrifice my beliefs, it would be like taking away my inside, leaving me as an empty shell. Without the beliefs, "Every is meaningless, a chasing after the wind."
One can argue that if one is rich, and has all the goods in the world, they would be happy they would be secure and comfortable, but that is not true, for "For what profits a man if he gains the whole world but loses his own soul."
In the end, it is up to the viewer, should one keep their worldly riches and desire but find no meaning, or should one continue in their beliefs, in hope of what they believing being the correct, and the answer to their meaning of life?
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hope this helps