I think you are confused on how SSL Strip works...
Defeating SSL using SSLStrip (Marlinspike Blackhat) Tutorial
The way the SSLStrip tool works by:
1. Does an MITM on the HTTP connection
2. Replaces all the HTTPS links with HTTP ones but remembers the links which were changed
3. Communicates with the victim client on an HTTP connection for any secure link
4. Communicates with the legitimate server over HTTPS for the same secure link
5. Communication is transparently proxied between the victim client and the legitimate server
6. Images such as the favicon are replaced by images of the familiar "secure lock" icon, to build trust
7. As the MITM is taking places all passwords, credentials etc are stolen without the Client knowing


