Conflicts are a natural part of forming and solidifying any team, and definitely so in a startup environment.
I experienced a number of conflicts, both as a CEO and as an employee. In all cases the conflict was a great opportunity because it was very telling about the team and about the business' direction and the way it is managed.
The important thing is to identify and distill the insights and make decisions quickly so that things do not continue to brew or escalate.
Glad to share more of my experience and insights on a call.