This isn't much help for what you describe, but if you want to move text from Illy to ID and have it editable, you must copy it as text (highlight with the text tool) rather than as an object. ID's text engine is quite a bit more sophisticated, and is not yet shared among applications.
For what it's worth, most experienced InDesign users set as much type in ID as they can. I would never set block text that might be subject to editing in Illustrator, nor would I usually copy/paste from Illustrator into ID. I've learned from expereince that if I need to make the art in Illustrator I'm better off saving as .ai and placing that because it is then re-usable for other projects. Pasted paths would need to be re-saved in ID as a snippet in order to be easily accessible for future use, and there is no easy way to edit once, update many.
I view InDesign as a ssort of box or framework into which you fit the various pieces of your puzzle, but not a place for constructing complex graphical content.
