That's not right, if Christ by the Spirit is within our hearts then we will be made righteous by his life within helping us to cleanse our hearts, and we will be made righteous though him in this lifetime. You can't say that we can't be made righteous, if the Spirit of Christ is with us then we can be justified through him and by his blood flowing through us cleansing us from our sins and the works of the flesh. Bringing into our hearts the fruits of the Spirit thus making us righteous before the living God.
Hebrews 9
How much more shall the blood of Christ, who through the eternal Spirit offered himself without spot to God, purge your conscience from dead works to serve the living God?
Matthew 5
For I say unto you, That except your righteousness shall exceed the righteousness of the scribes and Pharisees, ye shall in no case enter into the kingdom of heaven.
And here in Matthew 5
Blessed are they which do hunger and thirst after righteousness:
for they shall be filled.
Matthew 6
But seek ye first the kingdom of God, and his righteousness; and all these things shall be added unto you.
1 Timothy 6
But thou, O man of God, flee these things; and follow after righteousness, godliness, faith, love, patience, meekness.
2 Corinthians 5
For he hath made him to be sin for us, who knew no sin; that we might be made the righteousness of God in him.
Titus 2
For the grace of God that bringeth salvation hath appeared to all men, Teaching us that, denying ungodliness and worldly lusts, we should live soberly, righteously, and godly, in this present world
James 3
And the fruit of righteousness is sown in peace of them that make peace.
Hebrews 12
Now no chastening for the present seemeth to be joyous, but grievous: nevertheless afterward it yieldeth the peaceable fruit of righteousness unto them which are exercised thereby.
2 Corinthians 9
Now he that ministereth seed to the sower both minister bread for your food, and multiply your seed sown, and increase the fruits of your righteousness.
Romans 6
Neither yield ye your members as instruments of unrighteousness unto sin: but yield yourselves unto God, as those that are alive from the dead, and your members as instruments of righteousness unto God.
1 Peter 3
For the eyes of the Lord are over the righteous, and his ears are open unto their prayers: but the face of the Lord is against them that do evil.