1. Syntax: Jade uses indentation to define structure, while Mustache uses template tags like {{ }} to render data.
2. Logic: Jade supports conditional statements and loops within the template, offering more flexibility in defining logic compared to Mustache.
3. Control Structures: Jade allows for the use of mixins and includes for reusability, whereas Mustache focuses on simplicity and does not include such control structures.
4. Whitespace Handling: Jade strips unnecessary whitespace to keep the HTML output clean, in contrast to Mustache where whitespace is preserved as it is in the template.
5. Extensibility: Jade has filters that allow for additional pre-processing of data, whereas Mustache lacks such extensibility features.
6. Complexity: Mustache is more lightweight and easier to learn for simple templating tasks, while Jade can be more powerful but comes with a steeper learning curve due to its additional features.

In Summary, Jade and Mustache differ in syntax, logic handling, control structures, whitespace handling, extensibility, and complexity.