Hey @hddunlap
Look at the screenshot that Marius provided.
If you look at ur website, great work btw, you see the slide that is visible on the screenshot is very wide. That slide is wider than the viewport. It is not about how the image is positioned inside the slide, the slide is just a certain height and the width of the slide is based on the aspect ratio of the image.
Anyway,
what I think is best is if you create a custom phone layout: http://laytheme.com/documentation.html#custom-phone-layouts
and in your custom phone layout create a carousel that uses slide-width of 100%:
Screenshot 2020-02-14 at 10.15.48.png
If you need more control about which part of the image is shown please crop the image in photoshop to be a portrait image instead of a landscape image. Then upload it and use that version of the image in your carousel in your custom phone layout.