This idea is absolutely impractical and has no chance of ever taking place in real life, at least not if the geopolitical situation remains somewhat stable.
It's a jurisdictional Nightmare
Imagine an attacker from Finland connects to a Swedish proxy service, in order to connect to an infected PC in China, which then in turn sends a command to a C&C server in Russia, to which a computer from the US connects and downloads malware written in Brazil and hosted in Australia, which then in turn causes that PC to send an e-Mail to a server in Austria, which will later be read by a man from Japan.
This scenario includes 9 different jurisdictions, each of which has different governments, laws and regulations. For an "internet police" to work, all of them would have to let them operate in their own country. If you know a thing or two about history, Austrian police not being able to operate in Serbia was one of the factors that started a world war.
Who would fund them?
The internet police would need to be funded. Given how even local police forces, that investigate serious crimes, are often severely underfunded, I highly doubt many countries would jump from joy at the idea of paying even more people. Especially given that the police force would, by definition, mostly not operate in their own territory.
Who would control them?
By essentially making a "world police", who would control them? Where would you go to if you suspected that an internet police officer would violate their obligations? The United Nations? What if they don't come to a consensus?
The entire ordeal is absolutely impractical and not feasible in any way.
private.Who would control them?– uav Sep 26 '19 at 11:07