KDE has the "discover" app which does what it looks like you want (including installing intellij with 1 click). [1]
There's also bazaar for gnome which offers similar things [2]
Ubuntu also offers the "snap store" which similarly offers a 1 click install of apps. [3]
The mistake you made is going directly to the app distributors for installation. Because there's no unified linux it's impossible for app distributors to offer a single way to install their apps. They can't count on your PC having anything. That's why intellij distributes with a tar.
This, however, is typical in linux. Using a package manager is how you do things in standard linux, those package managers have just been typically ran by the command line.
[1] https://apps.kde.org/discover/
[2] https://github.com/kolunmi/bazaar
[3] https://ubuntu.com/blog/trust-and-security-in-the-snap-store
Maybe try something more commercial like Zorin OS?