Yes, you are right regarding the law fulfilling its role to bring about wrath and to avoid its wrath one must obey it without fail. The Galatians passage nails this without any wiggle room.
It's not clear to me why you are actings as if repentance isn't a thing.
One of the more interesting words in Galatians 3:11 is "evident". It is easy and effortless for a person to conclude from the Scriptures that no one will be justifed by the Law in the sight of God because the Scriptures say that all the just ones will have received eternal life through faith (not through the law). And for those who rebell against that idea, they must contend with the next statement in verse 12 that "the law is not of faith". On the contrary, obeying the law is performance based.
In Romans 3:27, Paul contrasted a law of works with a law of faith, in Galatians 3:10-12, he contrasted the Book of the Law with "works of the law", and in Romans 3:31 and Galatians 3:10-12, he said that our faith upholds the Law of God in contrast with saying that "works of the law" are not of faith, so that phrase does not refer to the Law of God, which is why it is not of faith. God is trustworthy, therefore His law is also trustworthy (Psalm 19:7), so the way to trust in God is by obediently trusting in His instructions, it would be contradictory for someone to think that we should trust in God but not in His instructions, and the position that God is a giver untrustworthy instructions that are not of faith denies the trustworthiness and faithfulness of God.
According to Deuteronomy 28-30, the way to be blessed is by relying on the Book of the Law while the way to be cursed is by not relying on it, so Galatians 3:10 should not be interpreted as Paul quoting from that passage in order to support a point that is arguing the opposite of that passage. Rather, the fact that cursed is everyone who does not continue to do everything in the Book of the Law means that the only way to avoid being cursed is by continuing to do everything in the Book of the Law, which is why those who rely on "works of the law" instead come under that curse.
In Galatians 3:10-12, Paul associated a quote from Habakkuk 2:4 that the righteous shall live by faith without a quote form Leviticus 18:5 that the one who obeys the Law of Moses will attain life by it, so the righteous who are living by faith are the same as those who are living in obedience to the Law of God. Moreover, the context of Habakkuk 2:4 does not treat the righteous living by faith as being an alternative way of living that is not in obedience to the Law of Moses. In Isaiah 51:7, the righteous are those on whose heart is the Law of Moses, and in 1 John 3:4-7, everyone who is a doer of righteous works in obedience to the Law of Moses is righteous even as they are righteous, so again the righteous living by faith does not refer to a manner of living that is not in obedience to the Law of Moses, but rather it is describing the way that the righteous live in obedience to it through faith.
We can do works for a variety of reasons such as in order to earn a wage or in order to show our faith (James 2:18), so the significance of our works in regard to salvation is not that they are what we are required to have done first in order to earn our salvation as the result, but other the significance is that they are the way to embody our faith and it is by that faith alone that we are declared righteous and are being saved.