It will. Plenty of people in my own family who've been Trump staunch Trump supporters through thick and thin were appalled by what happened on Wednesday. If the Republicans want to heal the country, they have to reassure these people that there is a path to normalcy and it involves rejecting this kind of extremism.
The worst thing Republicans can do is pretend it's all business as usual and force these people to choose between 'the evil Democrats' (who they won't support, ever) or 'our guy who might try a coup here and there but at least is on our side'.