Isa(AS) and IMAM MAHDI are two different personalities

Few Hadith:

• Quoted from Hakim, who says that Umm-e-Salmah^RZ narrates that she had heard the Prophet of Allah^PBUH saying that the Mehdi^AS would belong to Bani Fatima^RZ (Holy Family).

• It is narrated by U'mar^RZ that from the progeny of Imam Hussain^RZ, a person would appear from the east. Even if mountains stand in his way he would destroy them and carve his way.

• It is narrated by Abu Da'ud that Razeen Abdullah^RZ had reported that the Prophet^PBUH said that even if one day was left for the end of this world, Allah would prolong that day, so that a person from my family (Ahl-e-Bait) would be deputed, whose name would be my name and whose father's name would be my father's name.

• Ibn Asakar has narrated that the Prophet of Allah^PBUH said "How my Umma (adherents) would be ruined, when I am at the beginning and Isa (Jesus^AS) the son of Mariam (Mary^AS) is at the end and Mehdi^AS who is from my progeny (Ahl-e-Bait) is in the middle". 

• Hafiz Abu Nayeem Asfahani narrated through Ali Bin Hazili^RZ that the Prophet of Allah^PBUH addressed Fatima^RZ thus: "By Allah, who has deputed me with the truth (Haq), from these two i.e., Hussain^RZ (Hasan^RZ, Hussain^RZ ), Mehdi^AS, my adherent would be born, in the later period. In the later period he would establish the religion (Deen) as I have done in the early period".  

All the above hadith says that IMAM MAHDI would be from progeny of Prophet Muhammed(saas).

 But we all know that ISA was son of Bibi Mariyum(Ibn-e-Mariyum)

    Bibi Mariyum is not from the progeny of Prophet Muhammed. Then how Isa(AS) would be?  
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