Is it possible to disable specific sub modules (Like the blog, text module, ..)?
Yes. There are security options for each module.
Can you switch between edit mode and view mode when viewing your own profile?
When you are viewing your own profile you will see additional editing options. Each module has it's own edit mode which you access by clicking edit or settings depending on the particular module.
Is it possible to force an approve process on texts and specially images? So if a user uploads a new profile images it wont be shown unless and administrator approves it.
Not at this time. Once a profile has been approved the user can make any changes. However, this is a capability that we plan to add.
Can you choose what profile fields are show (Like turning off hobbies)?
Yes, if you are using the DotNetNuke profile integration.
Thanks,
Will