Hi!
I have tested now the Translation Management WPML addon.
I have created a page with two sections, containing two elements each, and saved it.
Then I have tried to do the translation using “Translation Management” addon.
It placed the entire Cornerstone content (Shortcodes) in a single field:

Translation Management is used by websites that outsource translations, and it is very useful with Posts. But it cannot be used for posts because it cannot be activated, due to X conflict.
Perhaps WPML will fix this eventually. This should be brought to their attention I think it is better if you do it. 
Thanks!