No, it is not that way
You don't burn in hell for not believing in God. You "burn" in hell because of what sin has did to us, because it has rotten our soul, and has degraded it, it is a reality, our soul is like it is because of sin, and what it has done to us. You are sending yourself to hell, like if you are diseased and refuse by any ways the medication, what can the doctor do your you? Christ, He is the great doctor of humanity, you don't burn in hell because He punishes you for not believing in Him, He is the God of love, not just a selfish human like us, He doesn't need our praises to Him, but we need Him as our doctor. God has seen what sin did to us, so He sent His only Son so we can be healed by Him, if we refuse that healing, if we refuse that medication, is the doctor guilty because the patients refused His medication, even if that medication costed Him His life?
No it is not, you won't blame a doctor in a hospital for a patient's life if that doctor gave him the meds he needed but he refused to take them, so why do you blame God because you are sending yourself to Hell?