Luther's 'teachings' are Paul's teaching, straight up. That all don't agree is self-evident. The Lutheran Confessions doesn't have any doctrine not tied to the plain text of the scripture.
I love the list of the doctrine as well,
Belief in Jesus for eternal life
Righteousness by faith
Justification by faith
Forgiveness of sin through faith
Repentance
Catholics agree explicitly with all of those things.
Luther's 'teachings' are Paul's teaching, straight up.
Your opinion, not mine. Mine is that Luther misinterprets Paul rather dramatically. He rips Paul out of a Hebrew covenantal context and tries to force him into a legal/forensic one. He fails to understand Paul in the context of Paul's own argument against the Judaizers, and instead interprets "works of the law" in a way that Paul did not at all mean it, as is self-evident from the context of Paul's remarks.
Have you ever actually considered the Catholic / Orthodox answer to Luther? Listen to Scott Hahn's "Romanism in Romans" sometime. You might be surprised at how far off Luther really was.