It appears that I have to proactively select the timezone I'm in to Google Drive so that they display correctly. Is there a way I can push this setting to all users within the organization?
At this time it's not possible to set a default timezone Google Drive and Docs Editors. A workaround is to create create a new spreasheet, set spreasheet settings as desired and use it as a template.
The G Suite admin could set a default timezone for user of a G Suite domain but this is only for Gmail, Google Calendar and other services but not for Google Drive and the Docs Editors. At this they don't have a global setting for the timezone.
Regarding the use of template, it's worth to say that On november 2016 Google launched a new template gallery for G Suite accounts. For details see Create a file from a template.
- Set a time zone for new users - G Suit Administrators Help
- How to set default locale settings for Google Drive spreadsheets (A thread of the official Google Docs Editors Help Forum)
- Save time with new custom templates in Docs, Sheets, Slides and Forms (Official Google blog)