A cementing operation cements casing in a borehole. A bottom plug pumped down the casing ahead of cement lands at a float valve. Circulation of the cement is established through the bottom plug to a shoe track downhole from the float valve. A top plug pumped down the casing behind the cement lands on the bottom plug. An internal component of the float valve is released by building-up pressure in the casing behind the internal component up to a release threshold. The internal component can latch at the shoe. At least some of the cement in the shoe track is displaced from the casing's shoe to the borehole by pumping the plugs and the internal component to the shoe. With the cement displaced out of the shoe track, the time required to drill out the assembly can be greatly reduced.