Hi BenWalke,
The content of the quote is surrounded by an HTML blockquote tag. That should help you in targeting the specific elements you want to style. For example, you could change the background color, add a border, adjust the fonts, etc.
Here's a simple example of how to change the background to red using CSS:
#lia-body .lia-content .lia-message-body .lia-message-body-content blockquote { background: red; }
Perhaps not the most visually appealing styling, but it's a simple demonstration of how to target the styling of that content.
Here's a nice example from the myFICO community:
http://ficoforums.myfico.com/t5/Understanding-FICO-Scoring/Expanded-quot-FICO-High-Achievers-quot-scores-of-760-and-above/m-p/111682#M12686
Regards,
Adam