Hi John,
There are a couple of ways you might approach this. What I’d suggest trying in the first instance though – because it’s an easy answer – is adding the following (empty) file to your theme:
tribe-events/filter-bar/filter-view-horizontal.php
So the more complete path would look something like:
/…/wp-content/themes/YOUR_THEME/tribe-events/filter-bar/filter-view-horizontal.php
The basic idea is setting up a completely blank template override (see our Themer’s Guide for an overview of customization techniques like this). Alternatively, you could probably hide it with a little CSS.
Does that help?