إِنَّ اللَّـهَ اصْطَفَىٰ آدَمَ وَنُوحًا وَآلَ إِبْرَاهِيمَ وَآلَ عِمْرَانَ عَلَى الْعَالَمِينَ / ذُرِّيَّةً بَعْضُهَا مِن بَعْضٍ ۗ وَاللَّـهُ سَمِيعٌ عَلِيمٌ
Allah did choose Adam and Noah, the family of Abraham, and the family of 'Imran above all people / Offspring, one of the other: And Allah heareth and knoweth all things. [3:33,34]
أَلَمْ تَرَ إِلَى الَّذِينَ يُزَكُّونَ أَنفُسَهُم ۚ بَلِ اللَّـهُ يُزَكِّي مَن يَشَاءُ وَلَا يُظْلَمُونَ فَتِيلًا / انظُرْ كَيْفَ يَفْتَرُونَ عَلَى اللَّـهِ الْكَذِبَ ۖ وَكَفَىٰ بِهِ إِثْمًا مُّبِينًا / أَلَمْ تَرَ إِلَى الَّذِينَ أُوتُوا نَصِيبًا مِّنَ الْكِتَابِ يُؤْمِنُونَ بِالْجِبْتِ وَالطَّاغُوتِ وَيَقُولُونَ لِلَّذِينَ كَفَرُوا هَـٰؤُلَاءِ أَهْدَىٰ مِنَ الَّذِينَ آمَنُوا سَبِيلًا / أُولَـٰئِكَ الَّذِينَ لَعَنَهُمُ اللَّـهُ ۖ وَمَن يَلْعَنِ اللَّـهُ فَلَن تَجِدَ لَهُ نَصِيرًا / أَمْ لَهُمْ نَصِيبٌ مِّنَ الْمُلْكِ فَإِذًا لَّا يُؤْتُونَ النَّاسَ نَقِيرًا / أَمْ يَحْسُدُونَ النَّاسَ عَلَىٰ مَا آتَاهُمُ اللَّـهُ مِن فَضْلِهِ ۖ فَقَدْ آتَيْنَا آلَ إِبْرَاهِيمَ الْكِتَابَ وَالْحِكْمَةَ وَآتَيْنَاهُم مُّلْكًا عَظِيمًا / فَمِنْهُم مَّنْ آمَنَ بِهِ وَمِنْهُم مَّن صَدَّ عَنْهُ ۚ وَكَفَىٰ بِجَهَنَّمَ سَعِيرًا
Hast thou not turned Thy vision to those who claim sanctity for themselves? Nay-but Allah Doth sanctify whom He pleaseth. But never will they fail to receive justice in the least little thing. / Behold! how they invent a lie against Allah! but that by itself is a manifest sin! / Hast thou not turned Thy vision to those who were given a portion of the Book? they believe in sorcery and Evil, and say to the Unbelievers that they are better guided in the (right) way Than the believers! / They are (men) whom Allah hath cursed: And those whom Allah Hath cursed, thou wilt find, have no one to help. / Have they a share in dominion or power? Behold, they give not a farthing to their fellow-men? / Or do they envy mankind for what Allah hath given them of his bounty? but We had already given the family of Abraham the Book and Wisdom, and conferred upon them a great kingdom. / Some of them believed, and some of them averted their faces from him: And enough is Hell for a burning fire. [4:49-55]
وَوَهَبْنَا لَهُ إِسْحَاقَ وَيَعْقُوبَ وَجَعَلْنَا فِي ذُرِّيَّتِهِ النُّبُوَّةَ وَالْكِتَابَ وَآتَيْنَاهُ أَجْرَهُ فِي الدُّنْيَا ۖ وَإِنَّهُ فِي الْآخِرَةِ لَمِنَ الصَّالِحِينَ
And We gave to Him Isaac and Jacob and placed in his descendants prophethood and scripture. And We gave him his reward in this world, and indeed, he is in the Hereafter among the righteous. [29:27]
وَوَرِثَ سُلَيْمَانُ دَاوُودَ ۖ وَقَالَ يَا أَيُّهَا النَّاسُ عُلِّمْنَا مَنطِقَ الطَّيْرِ وَأُوتِينَا مِن كُلِّ شَيْءٍ ۖ إِنَّ هَـٰذَا لَهُوَ الْفَضْلُ الْمُبِينُ
And Solomon inherited David. He said, "O people, we have been taught the language of birds, and we have been given from all things. Indeed, this is evident bounty." [27:16]
And from Hadeeth (even in the most authentic books of the Sunni brothers):
Abdullah b. Zaid-he who was shown the call (for prayer in a dream) narrated it on the authority of Mas'ad al-Ansiri who said: We were sitting in the company of Sa'id b. 'Ubida when the Messenger of Allah (may peace be upon him) came to us. Bashir b. S'ad said: Allah has commanded us to bless you. Messenger of Allah! But how should we bless you? He (the narrator) said: The Messenger of Allah (may peace be upon him) kept quiet (and we were so much perturbed over his silence) that we wished we had not asked him. The Messenger of Allah (may peace be upon him) then said: (For blessing me) say:" 0 Allah, bless Muhammad and the members of his household as Thou didst bless the members of Ibrahim's household. Grant favors to Muhammad and the members of his household as Thou didst grant favors to the members of the household of Ibrahim in the world. Thou art indeed Praiseworthy and Glorious" ; and salutation as you know. (Sahih Muslim, Book 004, Hadith 0803) [and note that neither of the companions of the holy prophet --peace be upon him and his household-- are not mentioned in this Hadeeth]
That somewhat addresses the genetic-like relations in a lineage, but then how can it be considered as compatible with other more fundamental teachings of Islam that the only ranking in the view of Allah is the grade of piety (acquired by the person himself) and nothing else?
يَا أَيُّهَا النَّاسُ إِنَّا خَلَقْنَاكُم مِّن ذَكَرٍ وَأُنثَىٰ وَجَعَلْنَاكُمْ شُعُوبًا وَقَبَائِلَ لِتَعَارَفُوا ۚ إِنَّ أَكْرَمَكُمْ عِندَ اللَّـهِ أَتْقَاكُمْ ۚ إِنَّ اللَّـهَ عَلِيمٌ خَبِيرٌ
O mankind! We created you from a single (pair) of a male and a female, and made you into nations and tribes, that ye may know each other (not that ye may despise (each other). Verily the most honored of you in the sight of Allah is (he who is) the most righteous of you. And Allah has full knowledge and is well acquainted (with all things). [49:13]
PS. This question is asked in the hope that some misconceptions would be resolved, and say, for the sake of completeness of the set of the questions in the website.