but the processes are so fucking long that getting something blocked takes time, our ISPs fight almost every time (...) The only actual option to get something out of the internet is to find the server and shut it down.

Not the case at all around here (Portugal), the blocks are quick and ISPs don't even complain, they simply comply. What the law says is that there's a govt entity called IGAC that is allowed to ask ISPs to block a website (domain name) as long as the website is flagged as containing / hosting piracy or other form of copyright infringement. The only requirement is that IGAC has to notify the website owner asking to remove the content prior blocking. After 48 if the website is still hosting said content then IGAC will ask the ISPs to block it.

Since this is all DNS based one can, obviously, set their DNS servers as Google or Cloudflare and bypass the block. Now the problem is that this is all fun and games until someone in the govt decides to go against Cloudflare and other DNS providers, the law would allow them to easily do it the way its written.