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It might be possible to mount the file system of the DVSDK on Beagle, but it might help for you to explain a bit your intention. The DVSDK is validated on the EVM using a TI kernel, whereas BeagleBoard development is typically focused on bleeding-edge community-oriented development. Community distribution providers have taken components from the DVSDK and have integrated into their distributions.
It seems you must have already followed something like http://code.google.com/p/beagleboard/wiki/HowToGetAngstromRunning. You can look at http://code.google.com/p/beagleboard/wiki/HowtoUseSGXunderAngstrom to see how people in the community have utilized the DVSDK components to get 3D graphics running on the BeagleBoard. http://gstreamer.ti.com is a useful resource to see how people have taken the DVSDK components and the integrated DSP-based video and audio codecs into GStreamer. The Angstrom Distribution has also integrated GStreamer and you can install the DSP-based codecs and GStreamer plug-ins (I believe with 'opkg install gstreamer-ti'), so I'd like to understand what else you'd like to do with the DVSDK as a file system.
I have some suspicion your trouble to this point might be as simple as not opening up a serial terminal on the appropriate port. I believe the OMAP3EVM has a serial terminal on ttyS2, whereas I believe the BeagleBoard uses ttyS0.