Hi,
We have provided the feature to design the each view separately, for this, all three tabs Desktop, Tablet and Mobile are available at bottom left corner, you can switch between them easy to set the layout design.
To export the template only with mobile view is not possible. Whereas, you can export template or theme with a responsive layout (have Desktop, Tablet and Mobile layout) or Without responsive layout (have an only desktop layout).
Thus, you can set it at TemplateToaster -> Responsive Layout -> Layout -> check or uncheck the "Responsive Layout" according to your necessity.