Superimpose two very different images and align along same object

In order to achieve this, it seems that operations such as OpenCV using Python will be required.

Template Matching

This can be done using a script.
In both images, you can highlight the central subject using select subject, tnen convert selection to path. Find the extreme points in the corners of the left, top, right, bottom, take them as outside boundaries of the object. Based on the deviation of the lines between the specified points from the horizontal / vertical, roughly calculate the angle of inclination of the entire object. Then you can move the layer and compensate rotation.
However, the result of the work will depend on what the select subject decides to select and on the form of the object, that is, it will often be unpredictable. I don’t think it is worth solving the issue in this direction.

Do you have multiple images? If yes then the next question is whether they share dimensions and exactly same pattern that should be rotated/aligned? If yes then please provide us with more samples. If not then task is very difficult, at least using Photoshop actions alone.