Will 2Do get read / write access to all my files if I sync with Dropbox?

Not at all.

Dropbox offers two modes of syncing, one of which is using an Application Sandbox, which only allows apps to read and write to their own sandboxed and protected directory within a folder called "apps". Please read more about this on Dropbox by clicking here. Note, 2Do uses the ’Access to its own folder in your Dropbox’ level of access. 

2Do uses the sandboxed folder to store its files and can only read and write files it creates itself. It cannot see, tamper, modify, read, write etc any other file that you may have elsewhere. Moreover, all communication is done securely using SSL, respecting your privacy and security.
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