I started by trying to provide a bit of elucidation on some of the points that had come up in the debate following Put1992's original question and a rider that he/she added regarding ATC. I made the point that after a birdstike during the approach, if the pilot is not having any difficulty handling the aircraft then ATC is not very interested. I've asked what just what you think ATC will do - without much response.
Agree completely.
I guess the question can cover a whole range of scenarios which would all require different actions:
1. Bird strike \ cracked screen \ completely unable to see anything
2. Bird strike, nothing wrong
Depending on which of those occured, you would react in very different ways.