is there someone that installed Moodle LMS on the server without causing issues on the other web servers already installed?
I’ve seen that cpanel via Softaculous allows you to install Moodle very easily.
Is it possible to get Softaculous also in Cyberpanel as already available in Plesk and cPanel?
CyberPanel supports PHP installations by default.
You can follow moodle documentation to have a working installation as the minimum system requirements are very clear Installation quick guide - MoodleDocs. I do not see softaculous as a requirement here.
Kindly follow their docs and revert back with any challenges or you experience so far.