Kali on web Server and paranoid security after encryption of hard disk

[pamamolf]

Hello

I am wondering if i install Kali on a web server using full disk encryption and set Luke after that what other things can do for protecting it?

I mean when someone on the datacenter try to connect a keyboard and mouse and a monitor and try to view and copy my running files as it will not ask in that way any password?

I know this is crazy but i am wondering for some extra security tips so even someone have physical access to be hard to go in my files

Thank you