I've built the uvcvideo module. The target for kernel is called linux-yocto, not linux-externalsrc. Or virtual/kernel, which is the same for this purpose.
See the BSP build guide for details of customizing the kernel config: https://communities.intel.com/docs/DOC-23007Edison BSP User Guide_331188-001.pdf
I'd rather not share my kernel config due to certain other issues I'm seeing + I'm using a different method of configuting the kernel, so it would be too much hassle for you to set it up.
Feel free to ask further if the BSP build guide is not clear enough.