Absolutely. You described exactly how I conduct my classes. I have only a couple of rules in my classes. You don't make your point by raising your voice. You don't make your point by sloganeering. You make your point in civil discourse and offer cogent reasoning. Those are my rules in a class. If you could do that, if you could abide by that, then we listen.
I don't listen to demands. If a student says, “I demand that you subscribe to this opinion”, then I probably will tell them, “Maybe you could leave the classroom, and we'll continue our discussion.”