I am not sure how the Holly's floats are set up, but I think what might be happing here (going on how Edelbrock's floats and float bowls are set up)l is that your floats are set too high; to the point were it is letting in just enough fuel for the car to run. What I think is that when he slams on the brakes, all the fuel in the bowls flys forward and up against the wall. Now, since all the fuel has been momentarily pushed forward, I see either the primary metering jets getting un-cover (your floats being set too high causes a low level of fuel in the bowl, if you had the normal level then there would be more fuel in the bowl which would still cover the jets, ever when the fuel flys forward), which means your engine would loss fuel until the primary metering jets get covered again; that the fuel flying forward and up against the bowl wall causes the float to rise, closing the needle and seat, stopping fuel from being allowed in; or both. I don't know if this is what is really happing, but this is just my guess. If I were you, I would re-adjust the floats and see if that solves it.
-Shaun