I would be rather surprised if the 4K broadcasting scheme was incompatible with existing broadcasts in the way that digital TV was incompatible with analog. Actual 4K broadcasts would not be viewable on a TV that didn't support them, but other digital broadcasting should (I think) be able to continue alongside, rather than requiring every television to switch over.
I rather doubt there would be a lot of over-the-air 4K broadcasts in practice, as the bandwidth that one such broadcast would require could be used for a larger number of lower-resolution, lower-quality feeds. You can already see that in some cases with existing digital channels where they cram in several sub-channels at lower quality rather than having a single high quality HD broadcast.