All descendants of Prophet Muhammad are not between Ahlul Bayt.Only 12 Caliphs/Imams and Hazrat Fatima(peace be upon them) from the descendants of Prophet Muhammaf are between Alul Bayt whom Allah has purified them with a through purification.
You said, "The Jews say they are special because of their heritage. I see no difference between your belief and theirs .. oh well!"
I know this saying of your is the Propaganda of Wahhabi scholars against Shia. What is indeed an slander. My brother I love you and advise you that do not hear their wrong sayings. They say very lies in their TV chanels against Shia.
Allah has said,
Indeed Allah chose Adam and Noah, and the progeny of Abraham and the progeny of Imran above all the nations;
So has Allah the beliefs of Jews?
Also Prophet Muhammad has said, إن مثل أهل بيتي کمثل سفينة نوح من رکبها نجا و من تخلف عنها هلک
The example of my Ahlul Bayt is like the example of the boat of the Noah. Whoever boards it will be saved and whoever disobeys will be destroyed.
Hakim says this Hadith is Sahih, according to the oponions of Muslim[هذا حديث صحيح علي شرط مسلم]. Also Haythami has said that this Hadith has very chains of the narrators that strong each other[و جاء من طرق کثيرة يقوي بعضها بعضا].
Sources: Al-Mustadrak 'Alas-Sahihayn, vol. 2, pg. 343/ Al-Sawa'iq al-Muhrighah by ibn Hajar al-Maythami, vol. 2, pg. 675.
So, did Prophet Muhammad have the beliefs of Jews?
Sobhanallah.
Brother @muhammad_isa is right. Jews thought they were the chosen people no matter what they believe in and what they did, but Allah already told us the truth in the Quran. Some Muslims are misguided like them. May Allah guide them to the truth.
(Both) the Jews and the Christians say: "We are sons of Allah, and His beloved." Say: "Why then doth He punish you for your sins? Nay, ye are but men, of the men He hath created: He forgiveth whom He pleaseth, and He punisheth whom He pleaseth: and to Allah belongeth the dominion of the heavens and the earth, and all that is between: and unto Him is the final goal (of all)."
Quran 5:18
Not all Jews are descenats of Al Imran, and not All Imran are Muslims. Those who are of the house of Prophets are only those who believe in the message. What did Allah say about one of Noah's sons who wasn't a believer?
He said: "O Nuh! he is not of thy family: for his conduct is unrighteous. So ask not of Me that of which thou hast no knowledge! I give thee counsel, lest thou act like the ignorant!"
Quran 11:46