"the powers of government are too heavily weighted on the side of the national government and against the state governments." the author or speaker of this quote would have been

This are the choices:

Anti-Federalist arguing for immediate ratification of the Constitution with a strong national government
 
Anti-federalist arguing against ratification of the Constitution in favor of a weaker national government
 
a Federalist arguing for immediate ratification of the Constitution with a strong national government
 
Federalist arguing against ratification of the Constitution in favor of a weaker national gov

The answer is -  Anti-federalist arguing against ratification of the Constitution in favor of a weaker national government