There is a vast difference and maybe you missed it. While the right does make a point of its morals and values it does not exclusively sell its politics as morality. The left exclusively sells the tenets of their politics as the gospel of modern morality. That's why they hijacked the term "progressive"; dissent is then regressive in their view. 
It's why they always frame everything in terms of being "racist" or not. To be racist is to be instantly invalided from debate and there is an ever widening net in which to be caught as a racist. That net is the left's political basket of beliefs and policies.