Re: Killing the connection?
If you want to try going full on at the network/gateway level rather than just browser, look to install pfsense as your firewall and then load a package called pfblockerNG. Utilising the latter it is possible to block both by way of DNS and IP. Also possible to block sites by way of geographical location.
So you could (by way of example) block via DNS e.g. facebook.com or any combination e.g. facebook.co.uk or even by TLD e.g. *.ru *.adult *.aero
Alternatively via IP you could block access to any ASN’s associated with Facebook e.g.
AS11917
AS32934
AS54115
AS63293
AS395291
(or anybody else e.g. Google, Yahoo, Microsoft, Amazon etc)
The nice thing about pfblockerNG is that all the associated firewall rules are generated automatically and can be auto updated as often as you wish. Ditto IP’s associated with ASN’s
I use it to block vast swathes of the internet e.g. all of Google, Microsoft, Adobe etc. only allowing outbound access at an individual device level as appropriate. You can subscribe to (free) lists of malware site and compromised sites. Also know adservers. The list is almost endless.
I find it does provide more granular control, albeit at the expense of breaking things - e.g. Apples iCloud is not exclusively hosted on Apple’s infrastructure. You may find yourself the subject of family complaints and need to spend time unblocking (or just allow the other half white list access to everything, whilst protecting your own devices)
I’ll whisper this, but I never see any adverts when browsing a certain “biting the hand that feeds IT” site.
Of course your level of paranoia may be less than mine (now where did I leave my tin hat?)
Bottom line, only way to be totally invisible is to be offline, otherwise we aim to lose by the smallest possible margin.
BTW did I mention this is all available for free? Note you want pfsense CE edition - Community Edition, not the paid for Plus edition)
https://www.pfsense.org/download
https://docs.netgate.com/pfsense/en/latest/packages/pfblocker.html
Have fun!