I think it is reasonable to say that most of the Bill Of Rights is exactly that in both strict reading and principle - rights bequeathed to individuals directly
You claimed "the Constitution is an explicit grant of powers to the government (reserving anything else to the people), not an explicit grant of rights to the people", to which they responded that a lot of the Bill of Rights is an explicit protection of specific rights to people (such as in the First and Fourth Amendments [among others]; what rights are being granted the government in those amendments?)