I don't think you can automate completely. The only thing I could come up with is combining the two self service steps to one... 1st one install the app and in the files and process sections of that policy I have /usr/local/bin/jamf policy -event XXXXX to trigger a 2nd policy. That 2nd policy only runs the "Microsoft Intune Integration".
I also used "sudo jamf policy -event intune" to trigger the user prompts for Intune registration without bringing up the Self-Service.
I use "jamf displayMessage -message $msg" to show the user a notification about the process.
If you'd rather bring up the self-service center, you can use the "open" command to open the installation or description URL from the self-service tab of the policy.