Publish templates UI/sharing widget improvements

[elisabettai]

From Team Black meeting on July 24: the two buttons one after the other are a bit confusing (see screenshot below). They suggested:

1. Move the "Check organization" button to the right, so it is less distracting
2. Rename the button to "My organizations"
3. "Share with" might be confusing, because in this view we're publishing a template. One option can be to change it to "Make available to..." or maybe "Publish for..."