The playback issues you are having, are unlikely related to the video cards render pipeline size. The GTX560Ti SIMD instruction pipeline is certainly not the bottleneck for real-time playback of your video. I guarantee this.
The likely possible sources of your interactive real-time playback issues while editing video are:
1. CPU: Not enough CPU power to muscle through the transitions in real-time. The performance of this frame-to-frame rendering of transitions and effects and manipulations are still dominantly CPU bound, even in applications with openCL and/or CUDA acceleration. The advanced parallelism of a GPU doesn't scale well until we remove the real-time limitations of a play-back and instead render/encode the whole project. In cases where you can leverage the parallelism of a GPU, the GPGPU performance of the $150 GTX750Ti is often on par with high end ($300+) Kepler based products, yet it dissipates ~1/2 to 1/3rd the power. A GTX780 just doesn't make much sense here.
Assuming your bottleneck is CPU related, it's hard to beat the value of the E3-1231V3 on a C226 chipset motherboard with ~16GB of ECC memory for this sort of work. Though changes to software settings may also help. Reducing the real-time playback quality for editing, or adjusting automatic preview rendering settings may help immensely.
2. DISK/RAM/Buffering: If you're working with high bit-rate footage the disk you are working from may not be able to sustain the data rates necessary to pull from multiple sources simultaneously through camera transitions. Remember, the data rate doubles during 2-source transitions in real-time playback. There are also many common editing mistakes that could lead to unnecessarily high disk access issues. Make sure you don't have unnecessary layers with bleed-through content (like 1% transparency instead of simply editing it out).
Assuming this is the problem, changing the way the program buffers and scratches and pre-renders may be a solution. Increasing the amount of RAM and disk space available to buffer previews may help. The best solution in a video editing environment is to use a many-disk strategy. Use an SSD for your system/software/boot drive, and then use high density (modern) mechanical drives for video editing. At bare minimum it's a good idea to have one drive configured for the storage of the original raw footage, and another for all writing/output/render/scratch operations. I would advise against having any other programs like an MP3 player making read calls on your editing drives, use a separate drive for your personal media/storage. Modern 2TB drives seem to be the sweet spot for performance/cost/reliability.
3. Fixed Function Video Decoder Performance: This is unlikely the issue, but if you are working with high bit-rate or high resolution or high FPS (or some combination of these things) footage, and if the software you are using leverages the fixed function video decoder/encoder, it *could* be a bottleneck. It's important to understand that more expensive GPU does not automatically mean better video decoder hardware. Go here:
http://en.wikipedia.org/wiki/Nvidia_PureVideo ... Note, the GT520 shares the exact same fixed function video decoder as a GTX TITAN. $40, $1000. There is no difference in video playback capabilities between these 2 GPUs when using their hardware decoders (there are some limitations for post-processing on the GT520 but that's another issue that doesn't require a $1000 GPU to solve).
If the fixed function video decoder is the problem, changing software settings to avoid using it, and instead use software playback may solve the problem, however, the best solution here would be to replace the GPU with a GTX750, which is 2 generations ahead of the GTX560Ti in terms of the video decoder (VP6 vs VP4).
FYI: The fixed function video decoder in your GTX560Ti, is comparable in performance to that found on an R9 290X.
FYI: The fixed function video decoder of a GT520, GTX TITAN, are the same, VP5. Doesn't make sense to buy a GTX780 to get this feature when you can get a GTX750ti with VP6 for a lot less money and a lot less watts.
FYI: The Fixed function video decoder found on a Haswell i5/i7/E3 is stronger than any decoder/encoder hardware found on any existing discrete GPU. Some video editing software under some conditions will actually run better with a haswell integrated GPU, than with a $500+ discrete GPU. The E3 Xeons with this feature have model numbers (not to be confused with version numbers) ending in 5 and 6. (IE E3-1246V3).