One of the features on Google Chrome is to allow you to customize your own search engine to forward the search to when you type the search keywords on the address bar on top. Go to the little tool and then options, you’ll see the windows popped as follows:
AskAlexia, my own ajax search engine was listed there as other search engines. I then make the AskAlexia as default. It then allows to me to get my searched results from AskAlexia when I typed on any searches for any keywords on the top of address bar of Google Chrome.
Now I can have ajax search engine on the address bar of my Google Chrome. Google seems to no stingy on this as it offers options for people to set to their own-preferred search engines which also include MS Live Search.