I've installed Drupal 8.0.2 in a standard installation process and in English.

I later changed The site's default language to Hebrew (Which is an RTL language) and my content type is now setted to the site's default language - Hebrew. I even determined my user's administration account, called "admin", to Hebrew (a new Drupal 8 feature that let's you pick a specific front-end language to a certain user).

After that I've organized the CKeditor full-profile edit-bar in an RTL manner at it's configuration page (and flushed all caches afterwards):

You saw - I did everything by the book, and yet:

I encounter two issues that comprise my whole problem:

1. The CKeditor edit-bar appears the opposite from how I arranged it (as can be seen one image up).

2. CKeditor input area typing cursor starts in the left instead of the right (I could easily manually flip the Edit-bar but the cursor will still appear in the left).

Update1

When I installed a test site in Hebrew from the start (instead of installing first in English and then add Hebrew and make it default), I didn't encounter that problem, and the edit-bar was RTL. I have no clue how to explain this! Maybe you can!