PAA:
Regarding your #1, there are countless gedolim throughout the generations through today who were and are no rush to move to E”Y. Yes, some did try, but that doesn’t speak for the vast majority.
Even Rabbi Schachter of YU says your #2 is incorrect: doing mitzvos in Chutz laAretz is NOT simply “preparation” for doing so in E”Y. You can hear that on his speech given on this past Israeli Independence Day.
Regarding #3, we were also kicked out of E”Y afterwards, as mentioned above.