Quote: Opinions on whether or not a wife is considered as family differs from person to person and situation to situation. Yet, what is most important here, and I'm sure that you'll agree with me, is what Allah (swt) says about wives their positions in families.
7:83 Thereupon We saved him and his household except his wife, who was among those that stayed behind
27:57 Thereupon We saved him and his household - all but his wife, whom We willed to be among those that stayed behind -
Please take note that the word used for household in Arabic is "Ahl". It means family and is the same word used in 33:33.
I will disagree with you slightly. The word used in 33:33 is "AhlulBayt"
"AhlulBayt" are a specific group of people pointed in the Quran and simply the relationship of marriage does not include one in it. This was the same term used in the hadith and it is obvious that the Quran and Hadith are mentioning the same group of people. Hence if in the hadith says that in this instance the wives are not included in "AhlulBayt" then I think that is pretty clear.
Here is the Hadith in arabic using the word AhlulBayt very clearly. If this is indeed the same group of people as in Quran 33:33 then the wives are definitely not included.
وَفِيهِ فَقُلْنَا مَنْ أَهْلُ بَيْتِهِ نِسَاؤُهُ قَالَ لاَ وَايْمُ اللَّهِ إِنَّ الْمَرْأَةَ تَكُونُ مَعَ الرَّجُلِ الْعَصْرَ مِنَ الدَّهْرِ ثُمَّ يُطَلِّقُهَا فَتَرْجِعُ إِلَى أَبِيهَا وَقَوْمِهَا أَهْلُ بَيْتِهِ أَصْلُهُ وَعَصَبَتُهُ الَّذِينَ حُرِمُوا الصَّدَقَةَ بَعْدَهُ
I can only anticipate your next argument (im guessing it might involve 28:12 or 11:73). However I will leave it here.