Arguably the so-called Renaissance was a revival of Greco-Roman paganism.
I sincerely doubt based on what I have read of Second Century Christian doctrine or praxis that the Presbyterians or Baptists had much in common with the 2nd century Church.
The episcopacy, Eucharistic sacrifice, baptismal regeneration, etc. being prime examples.
This movement started as a reaction to the Baptists and Presbyterians having little in common with Primitive Christianity in fact.