Just float the button to the right (Add float: right; to #sb).

To separate the internal and homepage search boxes, all you have to do is add #t in front of selectors for the homepage and #c in front of selectors for internal pages.

Also, I wouldn't recommend having the button image embedded into the stylesheet (Compatibility, etc.).
Here it is for easy saving:

posted by [Old Forum mrmagical] • 8 years and 5 months ago Link