Leadership, Passion & Team-building

I'm trying to become a better leader. I've read that half of leading an organization is creating a good team. To create a good team, you need to build trust between members. To gain trust from your members, they need to see your pure integrity, that you have a passion about your organization, and that everything is authentic.

But what if you're not passionate about the organization that you're trying to lead? But you are put in a position to lead, and you want to lead well because this is an organization that people care for and only you can do it?

How do I become a better leader if I'm not passionate?