Do Mormons own the Coca-Cola company?

No. The Coca Cola Company is owned by shareholders - of which there could be thousands. Sure, some of these individual shareholders could be members of the Church of Jesus Christ of Latter-day Saints (commonly called the "Mormon" Church), but the majority certainly are not. The Church itself is not involved with the Coca Cola Company.
The Chairman and CEO of Coca Cola is Muhtar Kent, a Muslim.
No. The Coca Cola Company is owned by shareholders - of which there could be thousands. Sure, some of these individual shareholders could be members of the Church of Jesus Christ of Latter-day Saints (commonly called the "Mormon" Church), but the majority certainly are not. The Church itself is not involved with the Coca Cola Company.
The Chairman and CEO of Coca Cola is Muhtar Kent, a Muslim.