Is an ethical system that bases ethics largely upon character and possession of valued qualities?

The answer is "ethics of virtue".

Virtue ethics or ethics of virtue is at present one of three noteworthy methodologies in normative ethics. Virtue ethics is an approach that deemphasizes guidelines, results and specific acts and places the attention on the sort of individual who is acting. The issue isn't principally whether an aim is correct, however that is critical; nor is it basically whether one is following the right govern; nor is it fundamentally whether the outcomes of activity are great, however these components are not unimportant.

You could solve them by trying something new that everyone can agree on or make a decision too.