There's probably a place you can give feedbaack, but not sure where.
I looked, but can't find a setting where you can disable the doodle. There are tricks but not real good ones.
You can try the
advanced search page. I don't think it ever gives doodles:
http://www.google.com/advanced_search
It behaves like the regular search page if you type your words in the first line and hit enter. You
can't easily click search (have to scroll down for the button), and there is no feeling lucky button.
Aside:
I do use google.com, but I had to jump through hoops to get it. I don't know why, I don't see the google doodle.
I wonder if I have been missing out on all the doodles. 
This is upsetting. 
A quick experiment revealed that I get doodles when I explicitly usee other countries' google sites... including Canada's and I am nowhere near Canada... I DO get the doodle. Why can't I get it with the US site, I wonder!
waves