No. We are still be Judged by our deeds. According to Jesus, Peter, Paul, John and James.
If you are talking about "our deeds" being our sins, then when it comes time for us to be judged, those who have placed their faith in Jesus Christ will be adjudicated "not guilty". We are clothed in the righteousness of Jesus Christ himself and not our own. Those who have not accepted Jesus Christ as savior, will be judged "guilty" and will pay the ultimate penalty for their sin which is eternal separation from God. Jesus said, "He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God." John 3:18.
The works we have done as Christians, will be judged at the Judgment Seat of Christ and will determine rewards or loss of rewards based upon the quality of those deeds - those based upon faith or not by faith - but we will still be saved so this judgment does not determine our destiny.
What about these verses:
Isaiah 53
1 Who has believed our message and to whom has the arm of the LORD been revealed?
2 He grew up before him like a tender shoot, and like a root out of dry ground. He had no beauty or majesty to attract us to him, nothing in his appearance that we should desire him.
3 He was despised and rejected by men, a man of sorrows, and familiar with suffering. Like one from whom men hide their faces he was despised, and we esteemed him not.
4 Surely he took up our infirmities and carried our sorrows, yet we considered him stricken by God, smitten by him, and afflicted.
5 But he was pierced for our transgressions, he was crushed for our iniquities; the punishment that brought us peace was upon him, and by his wounds we are healed.
6 We all, like sheep, have gone astray, each of us has turned to his own way; and the LORD has laid on him the iniquity of us all.
7 He was oppressed and afflicted, yet he did not open his mouth; he was led like a lamb to the slaughter, and as a sheep before her shearers is silent, so he did not open his mouth.
8 By oppression and judgment he was taken away. And who can speak of his descendants? For he was cut off from the land of the living; for the transgression of my people he was stricken.
9 He was assigned a grave with the wicked, and with the rich in his death, though he had done no violence, nor was any deceit in his mouth.
10 Yet it was the LORD's will to crush him and cause him to suffer, and though the LORD makes his life a guilt offering, he will see his offspring and prolong his days, and the will of the LORD will prosper in his hand.
11 After the suffering of his soul, he will see the light of life and be satisfied; by his knowledge my righteous servant will justify many, and he will bear their iniquities.
12 Therefore I will give him a portion among the great, and he will divide the spoils with the strong, because he poured out his life unto death, and was numbered with the transgressors. For he bore the sin of many, and made intercession for the transgressors.