Looks like there are only two options.
1. In the admin page/user profile page. You can set privacy on the profile details widget so guests can't see the profile details.
2. In the admin panel/user roles. You can set permissions so the guest can't see profiles at all.
To be able to see the profile with basic info only would require a custom code modification, or a plugin that would allow the admin to set visibility of base, and custom fields by user role.

Thanks buddy very much but I can't see profile permission settings in AP?

Under user role permissions; one of the fields says "view profile ". Just unchecked guests, and they won'the be able to view profiles. If you do it by editing the profile page, you can set view permissions for each widget on the profile page.

Oh yeah i see it now thanks so much you are my hero!

Glad I could help.