Thank you for your response.
You can create a new TWS project and download Profiles and Objects, Tabs, Custom Permissions, and other metadata types that include a required information at the same time. As a result, you will get all the necessary data in your Profiles.
However, the next time when you will pull updated Profile files from your organization - Salesforce will include into these files an information about files that would be included in this pulling process too. So you could get the profiles with another data.
At the same time, TWS includes only changed files to the pulling process, so if you would pull Profiles and Objects and there won't be any updates in object files - they won't be included to this pull and, as a result, your Profiles won't contain data about them and other information as well.
So in general, to keep all the necessary data in Profiles in TWS project requires ongoing updating of all other files, that is really difficult to work on.
I hope this would help.