“Sorry but I still can’t find where it says Nasi hador hu hamoshiach shebedor or anything like it. Can someone please give me an EXACT source?”
Here is the link. If it is not allowed, then just Google the above words in Hebrew and click on the chabadapedia page that comes up for a full list of sources and definitions.
http://chabadpedia.co.il/index.php/נשיא_הדור
Also “from what I’ve read so far the Lubavitch rebbes are the Moshe Rabbeinus of the dor because that’s what they said. Did I miss something here?”
Not to my knowledge, meaning I don’t know of another source that supports that, you obviously wouldn’t find it in gemara as it wasn’t applicable then, but I think any rational person who is looking for emes will count the Lubavitcher Rebbe as a reliable source.
“And another thing: the Tikkunei Zohar (112a) says that the ispashtuso of Moshe is in each generation “in each tzaddik and chochom who learn Torah up to [the number] 600,000”. So why does ChabadShlucha say there is only one person in each generation?”
Hmm I was not aware of that thanks for sharing! I will look into that and be happy to be corrected. I’ll lyk iyh.