Hi Lars,
Definitely possible. Purely to give some insight, if you visit Events → Settings → Display and select Skeleton Styles you should see that the list of views is displayed as a simple list, rather than as a dropdown.
So one approach is to follow that path (especially if you are going to be making a lot of changes) and rebuild things the way you want with custom CSS. An alternative would be to keep full Tribe Event Styles and add CSS to knock-out or override only those rules that are impacting. Here is a fairly minimal example of this:
#tribe-bar-views li.tribe-bar-views-option { display: block; }
This could for instance be added to a custom tribe-events.css stylesheet, as described in the Themer’s Guide. Of course you may need to expand on this to account for other presentational issues, but it should give you a starting point.
I hope that helps 🙂