Hi folks
@rdwray
@kelper
The biggest snag is that your router has to connect to the internet BEFORE any IP / other "shenanigans" can work. Whether it's old fashioned cable / copper wire or more modern fibre optivcs there's still a PHYSICAL LINK from your router box to the service supplying your internet -- and unless you live in "Multi-dimensional space" there's no where that you can "bollix that physical link problem". Of course once you are connected to the internet then that's possible to change / mess around with IP addresses that are seen by "the outside world" -- which is where a dedicate IP might work or be more appropriate than the more usual traditional VPN methods.
Any organisation e.g CIA / Mossad/ FBI / NSA etc can easily check who is using VPN's if they so need by simply getting a court order (or even by other "unofficial covert methods" used by their black ops teams) to check on any individual subscriber to a particular ISP -- so if a user is being "monitored" these agencies will know what ISP they are using and can track from there -- they don't need to worry about where messages etc come from on the internet itself.
The moral is "Don't make yourself a Person Of Interest".
Cheers
jimbo