The interpretation just given is totally backwards from what Paul wrote. The point was that Christians enjoy the promises given to Abraham and Christ and involve the blessings through Christ. The point of vv17-18 are that the Mosaic law could not change what we get by enjoyment of the Abrahamic promises. Verses 19-20 show that the mediation process was needed due to Israel's demonstrated disobedience leading up to the law-giving. It was not given as a universal law to reconcile humanity with God.We are under the New Covenant, which is made with the same God with the same character traits and therefore the same instructions for how to be a doer of His character traits. In Galatians 3:16-19, there is a principle that new covenants do not nullify the promises of covenants that have already been ratified, so God's covenants are cumulatively valid
In other words, Moses was given the law for a mediation role. But verse 17 shows that the law could not modify the conditions of the promise.
Galatians 3:18 (ESV)
18For if the inheritance comes by the law, it no longer comes by promise; but God gave it to Abraham by a promise.
Thus, if you want the inheritance promised through Abraham, the Mosaic law is not part of that process. It would only be an obstacle if anything. If you propose that someone who has now become a Christian is somehow placed under the Mosaic law given to Israel, show me where that is. If you think that someone who becomes a Christian will suddenly decided to become a thief, adulterer, and murderer because of grace, explain why that would be natural.
I will remind people of the understanding of Gal 3:19-20 that solves the uncertainty of meaning found in past readings is shared here: #Gal 3:19-20 Solved by the Shema in light of Christ's Divinity
Of course verse 21 shows further that the law was not salvific, so it should not be treated as if it were salvific for people coming to Christ and his grace.