Hi @nregard
Please activate Members and double-check that Enable Private Site feature is not enabled in Members > Settings tab. This is the only place where you can protect entire site.
Other than that, sometimes it might happen that after changing permissions, users don’t have access to some features. However, it should not cause a redirection loop. Members keeps permissions in the same place as WordPress – in the database in the wp_user_roles option in the wp_options table, so even though you uninstall Members, those permissions remain there. You can update this option directly in the database and return to default capabilities provided by WordPress if you want. To do that use cPanel or one of the database plugins, but before you do this make sure to backup the current value to restore your roles later if needed. Here you can find the default value for the wp_user_roles option.
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I hope that helps.
