What about unbelievers with burdens? We are to share the Gospel of Jesus Christ with them to convert them to believers. When they believe on the Lord Jesus Christ they are eligible for all His benefits. If they deny Him they have no right to His benefits.
The Law Of God is that set of laws defining spiritual and physical laws governing the universe and all of life.
The Law Of Christ is that set of laws which our Lord set forth to describe how the Kingdom Of Heaven operates. It encompasses who He is, what He has done, what He provides for us and what He expects of us.
The fulfillment of the Law Of Christ is in the same vane as:
We cannot keep this commandment with human love. Human love fails. The Love of the Holy Spirit enables us to love selflessly. Mar 12:30 Luk 10:27
But in order to receive the Holy Spirit and His love, you must receive Christ Jesus who is His express image.
Jesus commanded the rich young ruler to try to live up to this in and of himself knowing that he could not.
Jesus came to set the performance bar so high that all of us would fail and recognize our need for His Grace.
This is impossible because, as we all know, people are nasty.
It is only possible for us to love the unlovable (which is what Christ does) by His Holy Spirit, whose first fruit is love.
We cannot keep His commandments without His power operating in us.
His power is His Holy Spirit.