This might be an issue of syncing the quick filter with the action filter on the bar chart. Did you see this article? Syncing a Quick Filter with a Dashboard Filter Action | Tableau Software
If that does not help, may I suggest sharing the workbook?
Hi Katie, thank you so much for the quick response! Unfortunately this approach did not resolve the issue, I still need the drop down filter to act on the Bar Chart it's contained in, as well as, other objects on the dashboard. When I tried this, I lost that connection. I'm unable to share the workbook, it contains proprietary info.