So basically you object to browsers having a search box with a default search engine setting.
Firefox's search box even shows the Google icon and the word "Google" before you type into it, so users will know where their search is going. And changing the search engine setting is as simple as clicking on the icon and choosing from the dropdown.
In fact you must dislike other browsers even more. Epiphany, for example, will do searches from the location bar without even showing you beforehand that they're going to Google, and doesn't even provide an easy way to change the destination search engine. The horror!