The word 'right' in quotes for good reason. Government is a creation of men. Men do not bestow rights. Governments do not have rights. Governments have powers delegated them.
If the Federal gov't was abusing its power the people have a right to change that gov't as is the right of revolution (which Lincoln never denied)
Secession is not an option since the nation was formed by the people and it must be the people as a people who change it.