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Unfortunately for safety planners (but fortunately for arson fantasies) not all of the ISS is expected to vaporize in orbit. From NASA's ISS end of life FAQ:
Most station hardware is expected to burn up or vaporize during the intense heating associated with atmospheric re-entry, whereas some denser or heat-resistant components like truss sections are expected to survive re-entry and splash down within an uninhabited region of the ocean.
What is left of the surviving components will be very hot and could certainly burn down the goat if placed next to it. The trouble here is that this scrap does not have predictable aerodynamic qualities and the atmosphere is a chaotic place. The debris field when the Russian station MIR was deorbited was 1500 km long and 100km wide. The American Skylab missed the target of the Pacific Ocean and dropped debris on Australia as a little whoopsie doodle. So hitting a target the size of the goat would sadly be imposible.
As for missing a target the size of a goat, NASA has concerns:
...a random re-entry cannot ensure that any surviving debris lands in a remote, unpopulated area. The risks to the population associated with an uncontrolled re-entry for space station are not acceptable.
They're still a little twitchy from the media response to that time they dropped debris on Australia I think.
theoretically if we convinced NASA to deorbit the international space station into gavle that would probably light the goat on fire
Wouldn't it burn up in the atmosphere?