Instead of creating new website create a new phone that ensures privacy? But it will be pricey, considering it won't be backed by Google and YouTube, as no one will put these apps if privacy is the key feature. And then what about a new SIM? Or do we rely on video or audio calls that are made through web?
How many backdoors would be there, and would not one loose data if via web search we touch upon a site that collects information?