Hi Michael I had a feeling that would be your response..
It seems there is two things missing to achieve what I’m suggesting - align vertically and horizontally (of sources) in one go and align those selections to a target shape - (where the target shape does not move)

ADDED VIDEO on extra step required that i prefer to remove:

1. two actions to align centrally - could/should be one.
2. having to use construction line to get centre of the "target shape".
NOTE: these are easy shapes but i work with irregular shapes more often
so hence i previously suggested align works to bounding box centres.

ADDED MOI File shows target shape as irregular...
that means i seemingly can only drag a construction line to get
sources to snap to centre of the target.

Update: simplest solution is likely put a bounding box point on the target shape using a command - then it’s easy with alignment. But still the alignment options even if I right click the first one requires two actions (and moving mouse upto the tool bar which is a bit counterproductive). Ideal solution “centre alignment command” one click aligns all <Selected objects > to their centres.
Step two picks target shape - automatically shows/adds its bounding box point user THEN moves all sources to target (all that could be automatic)

Be great if this was a standard feature or complete script…