As far as Ram, there is Kamba ramayanam to disprove it. ... there are temples like Eri Kaatha Ramar temple.. of course, you will disagree on all that.
Nayakers are also part of TN. They are OBCs and sons of soil.
Karunanidhi may tell what he wants, alwars and vaishnavites are as much part of tamil culture as murugan or as Christians. Ayyavazhi is offshot of vaishnavism and deeply followed in TN by MBCs.
And of course people like you worship DMK , but again DMK is not same as TN