I can see in the Service Analyzer that you can create individual Service Analyzer views.
However, when creating a new one, I inherit all services and entities from my default Service Analyzer view.
Is this intended behavior, and if so, how can we create a blank Service Analyzer view where we can populate it with other services and entities?
When you create a new service analyzer, you start with a standard service analyzer view, then you customize it and save it. See https://docs.splunk.com/Documentation/ITSI/4.0.2/User/Createcustomserviceanalyzers
For example, it you only want to show the "Active Directory" service, then you would filter it to this service and click Save.