[whpalmer4]

Probably Hotmail has some Safari-specific code and doesn't recognize OmniWeb as a Safari relative. What happens if you use the site preferences to tell OmniWeb to identify itself to Hotmail as Safari? Click the Site preferences button (just to the right of the google search field with the stock OmniWeb toolbar), then Preferences for Hotmail (or whatever the domain used is), Other tab, Identify to web servers and scripts as Safari 4.0.

I'm not sure I understand the complaint about dragging Google search results to the tab bar. I did a search on "hotmail omniweb" just now in OmniWeb and had no trouble dragging results to the tab bar. Are you grabbing the link at the top or the bottom of a search result? Looking at the page source, the bottom one doesn't appear to be a live link, just a text string.