Do you realise the names of the Surahs was given by man and the Prophet or his Ahlulbayt (AS) never named the Surahs of the Qur'an? It was the people who named the Surahs so I don't know why you are using this as an argument.
The word "Aqsa" in Arabic means "farthest". I have also researched to topic of Al-Aqsa and Bayt Al-Maqdis (Jerusalem Mosque) in the Hadiths of Ahlulbayt, and there seems to be a debate among Shi'a whether it is Al-Aqsa.
So he went from one family to another family? Dude what are you on about? The point of why I used this Verse is not about Jerusalem, it's about Al-Masjid Al-Haram, so focus on that please. And because you didn't know how he went from the Masjid Al-Haram to Al-Aqsa, you came up with he went to from one family to another? @_@
And here is another Verse which proves Al-Masjid Al-Haram is a physical place:
Certainly has Allah showed to His Messenger the vision in truth. You will surely enter al-Masjid al-Haram, if Allah wills, in safety, with your heads shaved and [hair] shortened, not fearing [anyone]. He knew what you did not know and has arranged before that a conquest near [at hand].