Final answer:
The contemporary social issue that has the greatest connection with Mr. Smith Goes to Washington is political corruption and the fight against it.
Step-by-step explanation:
The contemporary social issue that has the greatest connection with Mr. Smith Goes to Washington is political corruption and the fight against it. In the movie, Jimmy Stewart's character fights against corruption in the government to ensure the construction of a boy's camp in his hometown. This issue is still relevant today as corruption continues to be a problem in politics around the world, and there are ongoing efforts to combat it.