A person can believe in monotheism, trinitarianism, premillennialism, the deity of Christ, the inerrancy of Scripture, and many other points and yet still be trusting at least in part in their own works to get them to heaven. Yet many of those same people are not trusting in Jesus Christ and Him alone for eternal life. They are trusting in what Jesus did on the Cross plus their own good works. They make all of their plans and base all of their actions on that belief. Saving faith is not a unique kind of faith.
Faith is faith.
What makes saving faith saving is the object. The object of faith which results in life eternal is the promise of God to the believer. I believe Him. This would not, however, change the points being made here.