First, you need to make sure that the project is set at 1080 60p. The movie will share out at whatever setting the project is, no matter what the resolution and frame rate of the clip. To set the frame rate and resolution, create a new project and insert a known 1080 60p clip into it as the first clip added to the project. The clip may be the very clip that you intend to include in your movie. That will set the project. You can thereafter delete the clip if you want and that will not change the setting.
To verify the project frame rate setting, open the project and expand the timeline all the way out with the slider next to the Settings button located above the timeline to the right. Then place your cursor on the clip and drag it slowly across the clip while at the same time holding down the "r" key. A yellow box will appear as you drag out, and a frame rate timer will appear that measures the frame rate. If the timer reaches 00:29 and at the next tick turns to 01:00, then you know that the project is 30 fps. If the timer goes all the way to 00:59 and at the next tick turns to 01:00, then you know that the project is a 60 fps.
-- Rich