Modifying Page (Block, etc) display advanced options of View 3

I am trying to add new options to the Page display of Views 3 (in D7).

Basically, I have a module that add a new entity that can be manipulated by Views 3 (like what the wbapi module does).

But I want it to add some more advanced configuration options to the Page display (and eventually to other displays).

Is that possible, if so how?

I spend hours and hours trying to make this working, and I have never been able to make it working. What I have been able to do is to create a new display plugin by using the hook_views_plugins(), and by extending the views_plugin_display_page() class. However, this is not what I want. What I want is:

(1) Directly modifying the options of the Page display
(2) Another acceptable option would be to remove all the default displays (page, block, attachment, etc) and then to add a new display of my own.

So, is any of this possible?

Thanks!

Take care,

Fred