By default, there is no native LSWS listener created when import Apache httpd.conf. In this case, you need to create a native LSWS listener in Admin Console to override Apache listener:
1. Create/Add a listener in Admin Console => Configuration => Listeners.
2. Bind to ANY or the IP server is listening to.
3. You will see error status (Admin Console => Actions) for the newly created listener after LSWS restart. Just ignore that.
Right, I have that running for http traffic on port 80.
The concern is with implementing the SSL listener for 443. The docs reference creating / acquiring certificates and installing them, but without more detailed guidance I'm hesitant to try something that might put our clients' SSL traffic at risk.