The words Chaverim Kol Yisroel are from Rosh Chodesh Bentching which I’m sure you are aware. The point is that when will all the preceding things happen (Moshiach and Kibbutz Goliyos)? When we are all chaverim.
Now that you mention it, rosh choidesh bentching is probably the only time we do “agree” as a group as the moilad is a fixed time, regardless which zman motzeh shabbos you hold, or how much / how fast matzoh needs to go down.
OK, the netz too is undisputed (but few of us are up for that!)
So while we may not agree how to spell the word, at least this proves we can all be friends (gender-specific only, though)