Will the people be judged  on the Day of Judgement merely based on their beliefs of a particular religion, but not on their actual deeds in this world?

Verse 62 of Chapter 2
Those who believe (in the Qur’an), and those who follow the Jewish (scriptures), and the Christians and the Sabians,- any who believe in Allah and the Last Day, and work righteousness, shall have their reward with their Lord; on them shall be no fear, nor shall they grieve.

Verses 80-82 of Chapter 2
They also say, "The fire of Hell is not going to touch us, and even if it does at all, it will be only for a few days". Say, "Have you obtained a promise from Allah which He would not break? Or, do you attribute to Allah things you do not know? Why will not the fire of Hell touch you? Whoever earns evil and becomes engrossed in sin shall be doomed to Hell and abide therein for ever. Only those people who believe and do good deeds, will be the dwellers of the Garden and live there for ever.


Verses 111-112 of Chapter 2
They say, "None shall enter Paradise unless he be a Jew or (according to the Christians) a Christian." These are their wishful fancies. Say to them, "Bring your proof, if you are right in your claim." The fact is that no one has any special claim to Paradise; whoever surrenders himself to Allah in obedience and follows the Right Way, shall get his reward from his Lord: there shall be neither fear nor grief for such people.

Verses 23-25 of Chapter 3
Have you not marked the behaviour of those who have received a share of the knowledge of the Book? When they are invited to the Book of Allah so that it may judge between them, some of them evade it and turn away from Its judgement. They do this because they say, "The fire of Hell is not going to touch us and even if it does at all, it will be only for a few days." Such self invented beliefs have involved them in various kinds of misunderstandings about their religion. But what will they do when We will gather them together on the Day which is sure to come? On that day, everyone will be paid in full for what one has earned, and none shall be wronged.