tar must compress directory including every bind mountpoint's content
 

How do we have tar archiving and compressing directory including all resolved mountpoints' contents under it?

What did you try, and was the problem with it?

yes, tar has some options to compress, what's wrong with them? (see man page)

tar(1) is one of those odd programs that is so complex the man page can be hard for people :) Also there are some differences between various UN*X systems.

So this is what I do, and this is compatible with the BSDs and AIX.

HTH