Hi Nick,
I think we misunderstand each other. Yes, I do want to create an independent website in english parallel to the primary language, this is what WPML for as you said. For the moment I want to hide the second language (english) content, until it will be perfectly ready without problems. I understand that WPML dont translate automatically the content of the pages (this we will do with a translator, who is already working on it), I want to use WPML to transfer the webshop products and all of their parameters: featured image, price, tax etc. in to the second language product page.
Maybe I could send you privately the admin Account info to my site, you would log in, then you could see and better understand the issues. Let me know if you want that.
There is a webshop, woocommerce on my site. All the pages work well in the second language except for the product pages.
Below I will summarise all the problems I have:
Issue 1.
When I switch on the WPML language selector in the My Account menu and I go to single product view (in the magyar pages), it duplicates the page content. It means I see the same product description two times on the same page under each other. However this is only true to single product view, everything stays okay on other pages (group of products, all products etc).
I've checked the language selector menu in 3 positions:
1.-In the Header Menu, same, it duplicates contents
2.-In the My Account menu, again it duplicates content
3.-In the footer it works fine, but it's not the right place for it (issue 2 and 3 still occur)
I use WPML, and I tried it with woocommerce 1.6.3 patched, and woocommerce 1.6.5.2, but it duplicates content.
Issue 2.
I deactivated all the other plugins besides woocommerce and WPML, but the 1. issue is still there. After I activated all the plugins again, it generated a new issue which I havent seen before:
In menus (wordpress) the Primary Menu for both languages cant be saved. Only for one language.
a) When I save the Primary Menu for hungarian language, the english page gets the hungarian main menu as well.
b) When I save the Primary Menu in english, the hungarian page gets the english Primary Menu as well.
When I tried to save the english menu in the Main Menu (Primary Menu) it changed the hungarian main menu too to english, and when I saved the hungarian Main Menu it changed the english to Hungarian. Back and forth. Both languages have the same primary menu while the Secondary Menu works correctly. So literally on the Admin side I can see that it does not let me save the Main Menu in both languages but only in One.
Issue 3.
When I try to create a product in the second language, I edit the product page, make the translation, press the blue + sign. The product in the second language will be visible on the shop overwiew page, its OK. But when I click on the product, the single product page link breaks. The broken page (second language product) link looks like this on the admin page: http://konyvmanufaktura.hu/en/automatikus-vazlat-3/notebooks/neske-notebook-awaiting/
This: automatikus-vazlat (which means automatic draft in hungarian)-3 could be the problem, I think, but I can only edit this part of the link: neske-notebook-awaiting/
Meanwhile I tried to ask for help on WPML.org forum, this is the answer I have got:
"In case this points turn out to be a "theme / WPML incompatibility" issue then what we would recommend is that you contact your theme author and ask him to join our "Go-Global" program.
We work with theme/plugin authors to solve compatibility issues between their themes/plugins and WPML.
We are happy to work with any author who shows interest in this by contacting us through this link http://wpml.org/documentation/theme-compatibility/go-global-program/ "
Thanks:
Agnes
Create a new thread and tell me what problems you are encountering and what you want to know. 
There is no step 3 :) 
