Well, it seems to me you'd need all the pieces of the full picture of being a believer following Christ, so that they could recognize some of what you say as their own ideas put into other words. That 22 minute video from Sproul only addresses only justification alone (though usefully), only one part of our lives as Christians.
It does have hints at other key parts, like in the start it points out that it was assumed in that time (during the reformation) that repentance was basic and would be done, that repentance is essential, basic, required.
Here's another key look at works that follow from faith (not to cause faith, nor to supplement faith, nor to justify), how works are still indeed required to endure:
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In the New Testament, we are directly commanded by Christ Jesus this way:
Matthew 7:12 In everything, then, do to others as you would have them do to you. For this is the essence of the Law and the prophets.
And this is not an optional extra good, something to do for
extra treasures in heaven such as giving all one's wealth to the poor, but instead this is a
basic requirement of Christians because they have faith in Christ.
Why do I say "requirement" instead of just some less sharp thing like 'good thing to do'?
Why?
Because Jesus directly warns us that without doing as He said to do, our house will collapse and be destroyed --
21“Not everyone who says to me, ‘Lord, Lord,’ will enter the kingdom of heaven, but the one who does the will of my Father who is in heaven.
22 On that day many will say to me, ‘Lord, Lord, did we not prophesy in your name, and cast out demons in your name, and do many mighty works in your name?’
23And then will I declare to them, ‘I never knew you; depart from me, you workers of lawlessness.’
24 “Everyone then who hears these words of mine and does them will be like a wise man who built his house on the rock.
25 And the rain fell, and the floods came, and the winds blew and beat on that house, but it did not fall, because it had been founded on the rock.
26 And everyone who hears these words of mine and does not do them will be like a foolish man who built his house on the sand.
27 And the rain fell, and the floods came, and the winds blew and beat against that house, and it fell, and great was the fall of it.”
Here we learn we cannot make it unless we put His commands to us into action in our lives. If we don't, eventually a storm of life will come and destroy our standing.
So, we continue to put
Matthew 7:12 into practice, if we believe in Him, or because we believe in Him. Faith leads to salvation, and faith leads to actions. ("Faith without works is dead." as famously in James, for clarity.)
In (too short?) summary, real faith leads to works, if one follows the Spirit, walks in the Spirit, and does not follow the flesh, and that when they do stumble and follow the flesh, as for instance Peter did in Galatians chapter 2, that they confess (1 john chapter 1), and repent (turn), and thus surrender to God, to God's way, Christ, be reconciled and restored. John chapter 15 verses 1-17 are very helpful on this.
