Quite a bit to read there.
Assuming that the author is asking simply whether or not police officers are constitutional, it seems to me the founding fathers and all their original literature couldn't possibly comprehend the state of affairs modern America finds itself in.
"At the time of the Constitution's ratification, the office of sheriff was an appointed position, and constables were either elected or drafted from the community to serve without pay.5 Most of their duties involved civil executions rather than criminal law enforcement."
Of course nowadays you can't possibly expect anyone to do such a dangerous job for free. And cities have grown so big that of course more sherriffs are needed. Just look at LA.
"Professional police as we know them today originated in American cities during the second quarter of the nineteenth century, when municipal governments drafted citizens to maintain order.6 The role of these "nightly watch" officers gradually grew to encompass the catching of criminals, which had formerly been the responsibility of individual citizens.7"
Nowadays when the everyday citizen takes the law into his own hands, it's considered vigilanteism and they are sometimes frowned upon. Let alone the consideration that the general populace including today's youths don't have the responsibility or the maturity to perform such acts without it turning into a riot or street justice.
To sum it up, the past is the past. There is no way the founding fathers could forsee the amount of crime or problems we face today as a country. Back then rape alone was rare and met with extreme punishments when it occurred. And not necessarily to the truly guilty party. Regardless, in this case, what the founding fathers intended, in today's society police officers are constitutional and very much needed. Just imagine what life would be like without them.