Will disbelievers' deeds be evaluated on the day of judgement?

Question

In my answer to Do my good deeds committed before converting to Islam count? I mentioned that good deeds reduce punishment of disbelievers and I say "it's known that ..." as it is a rule. I thought this is true as per the story of abu-taleb and he is the less people suffering in jahanam.

Afterwards, I asked my sheikh about some points in my answer, but I didn't think that the point of reducing punishment is totally wrong. During this conversation, I told him about it, and he told me that this point is wrong and I edited the answer and removed it! He mentioned that the reduced of punishment of abu-talib was because of the intercession (shafaa) of the prophet (pbuh).

What I know is that disbelievers will never get out of jahanam. Am I wrong?

My question is: If the good deeds of disbelievers won't be evaluated if they die before repentance, will they be in the same level in jahanam? If not, that means good deeds are counted!?

Or good deeds are counted only for Muslims who will stay for a while in jahanam? And they are the only people for whom "levels" are relevant.

Answer 1

"Good deeds" without conscious of God is not regarded as "good deeds" in Islam, that's where the confusion lies.

Source:

In Islam you are not judged based on actions, rather based on intention.

Al-Baqara: Verse 225: لَا يُؤَاخِذُكُمُ اللَّهُ بِاللَّغْوِ فِي أَيْمَانِكُمْ وَلَٰكِنْ يُؤَاخِذُكُمْ بِمَا كَسَبَتْ قُلُوبُكُمْ ۗ وَاللَّهُ غَفُورٌ حَلِيمٌ | Allah will not call you to account for thoughtlessness in your oaths, but for the intention in your hearts; and He is Oft-forgiving, Most Forbearing.

Good deeds are only good with correct intentions.

Al-Ahzab: Verse 5: ادْعُوهُمْ لِآبَائِهِمْ هُوَ أَقْسَطُ عِنْدَ اللَّهِ ۚ فَإِنْ لَمْ تَعْلَمُوا آبَاءَهُمْ فَإِخْوَانُكُمْ فِي الدِّينِ وَمَوَالِيكُمْ ۚ وَلَيْسَ عَلَيْكُمْ جُنَاحٌ فِيمَا أَخْطَأْتُمْ بِهِ وَلَٰكِنْ مَا تَعَمَّدَتْ قُلُوبُكُمْ ۚ وَكَانَ اللَّهُ غَفُورًا رَحِيمًا | Call them by (the names of) their fathers: that is juster in the sight of Allah. But if ye know not their father's (names, call them) your Brothers in faith, or your maulas. But there is no blame on you if ye make a mistake therein: (what counts is) the intention of your hearts: and Allah is Oft-Returning, Most Merciful.

What is the intention of every disbeliever when they do "supposed" good deeds? Is it to please the creator? Is it for the sake of the creator?

To sum it all up, if you do anything without giving credit to the creator, then that deed can never be regarded as good. In every prayer we say "Alhamdulellahe rabil alamine", this means "all praise belongs to God". Does a disbeliever ever say this? If not, then how can their actions be regarded as good? They believe "praise belongs to them", that's why they boast about their actions, and show off.