Can anybody tell me what is the right way to use localization together with "display module on all pages"?

Here is what I did:

1. add whole content default language (German)
   (there is 1 module displayed on all pages)
2. enable localization
3. translate content in other language (English)

Now I always get a new instance of the module that is displayed on all pages and I have both versions on the page in English.

Could anybody reproduce this? Do I have to "detach" this module before click "Ready for Translation" or what is the right way?

O.K. thanks. I guess "display module on all pages" is used regularly by many users. I wrote it here because I couldn't find this issue @ Gemini and I was not sure if it's a bug or my fault. Could send me the link so I can see when it is planned to fix this?

PS: I never used the "set as default" feature.. wished sometimes (when customers used it) this checkbox would be as hidden as the "Ready for Translation" button ;-)