Problem:
Using Toolset's Import/Export, The only tabs on the new site's Import/Export are Types, Associations, and Forms. I don't see any options of Views.
Solution:
The export/import tab for Toolset Blocks has been disabled on purpose, our developers are working on it, but I am not sure when will this feature will be implemented.
Currently, you will try as you mentioned above, manually recreate the content template and view blocks.
Relevant Documentation: