Hi there, welcome to the forum. 
That’s a great question with a very long answer. The short answer is that Safenet will have way more encryption layers than TOR. Bitcoin actually has none, it’s called a cryptocoin because the transactions are signed using cryptography. But the transactions are going over the network in plain text.
Here’s a short explanation of how Safenet works:
https://www.reddit.com/r/safenet/comments/3qyqme/safenet_in_5_minutes/
Here’s a long read with encryption layers etc.
Hope that helps a bit. The system is created in a way where only a few nodes will know your IP-address. But these nodes don’t know what you are doing on Safenet. The nodes that might have an idea what you are doing (not that much, would take them a lot of effort to see you downloaded a chunk of a Hollywood movie) don’t have a clue what your IP-address is.