In order to display the file on Google Maps though, the file must first be hosted on a web server. In order to avoid writing a program to maintain a web server, I instead used the Dropbox API to allow each user to use their personal Dropbox accounts as their own web server. Using this, the KMZ file is downloaded from THREDDS, uploaded to the user's personal Dropbox, and then fed to Google Maps to be displayed on their phone.
Animating the radar images turned out to be somewhat tricky because the animated KMZ files produced by THREDDS are dependent on time and while time can be toggled in Google Earth, I could not find how to do so in Google Maps. Instead, I made multiple requests for individual radar files and to animate them I toggled their visibilities on and off. Unfortunately, this is very slow and probably can be sped up in future work.
Other possibilities on where this application can expand include other radar products and model data. The code for this project is available on GitHub. I encourage you to leave me a comment below with your thoughts or become a contributor to the GitHub branch.