Justification and faith are words with quite a wide range of meaning. It looks like Paul uses both in ways that have a certain variation. Pistis can be translated both as faith and faithfulness, and I think both translations are needed
The first major treatment of both is with Abraham, who demonstrates his faithfulness by doing what God says. Paul is not contrasting faith with works, in quite the Lutheran sense. Rather, he is contrasting a superficial work such as circumcision (works of the Law) with a faithfulness that shows a real life based on God. In that passage, N T Wright seems correct that justification is really showing that someone is a faithful follower.
But Paul also talks about people being justified in the sense of being set right with God by faith. In this sense justification is active, something God does for us, not just a recognition of status. This is the use that supports the traditional Lutheran understanding. Surely Luther was right that even here, faith isn’t just belief, but something like trust.
But I don’t think Paul would separate these two.uses of faith. Faith puts us right with God. It brings us into Christ, a relationship Calvin talks about as “mystical union.” But the actual relationship is one of faithfulness, and it is faithfulness that is the basis of justification in the sense of what shows that we are Christ’s.