I know we're all here for the discussion, but I thought it would be nice to be able to have our company display under our names.

If you go to Settings-> Edit Profile and scroll down to "Additional Information", you will see a field for "Company:".
When you add your company name there it will show publicly under your profile image. This is completely optional.

For consistency I'd rather keep it to company names only. No URL's, political statements, twitter handles, favorite teams, shout outs, song lyrics, and so on. If you don't yet have a company name, leave it blank.

Let me know if you have any issues.