Is it possible to automatically show apps which are installed to "~/Applications" in the system's "Applications" folder?
Here is what I would do:


Create aliases for the apps already in: ~/Applications


Select the apps in ~/Applications and drag an drop into /Applications while holding down: option command

Create an Automator Folder action that will create an alias for any new app placed in ~/Applications into: /Applications


In Automator, File > New, then select: Folder Action
Set Folder Action receives files and folders added to ~/Applications
Add a New Aliases action setting In: to: /Applications
Save as, e.g.,: Alias My Apps to Apps







To work with Folder Actions afterwards, you can bring up Folder Actions Setup using Spotlight by typing in e.g. Folder Actions Setup until it shows, and then press: Enter Or, right-click on any folder in Finder and select Folder Actions Setup… from the Services section of the pop-up menu.