Just because they say they don't collect your info, it doesn't mean that google doesn't get it.

Look at the source of a search page and you'll notice that they include scripts directly from google.com...

Google assuredly gets info, just not from the user. There aren't any google requests from Firebug's net tab, either, so perhaps you are mistaken.

Google knows what you were searching for, when, and for how long...

Hum, neither NoScript nor a search in their source reveals such scripts. Can you point me to them?

Open up the source and search for google.com...