Show me where in the 14th Amendment that it says the states are restricted in any manner other than what is explicitly stated therein.
What part of "No state shall" do you not understand? What is it that no state shall do? "make or enforce any law which shall abridge the priviledges or immunities of citizens of the United States..." The author of the 14th amendment stated that the "priviledges and immunities" were those protected by the first 8 amendments to the Constitution, although they are not defined in the amendment itself, a grevious oversight, but then the authors of the Bill of Rights didn't define lots of terms, like "arms" for example.