When someone uses the word "require" or "required" that is an imperative mood even in English. So bascially all you're saying is that faith and believing are "commanded" in the Bible. But a command given in Scripture in no way implies that those who receive the command are able to obey it. The doctrine of total inability is that no one is able to respond unless they are first born again and then given irresistible grace to come to Christ.

(John 3:3-8; 6:37-44, 65; Matthew 22:14).

For "who has known the mind of the LORD that he may instruct Him?" But we have the mind of Christ. (1 Corinthians 2:16 NKJ)