Wand registration was really just a formality. Many people had second wands, and they could also seize someone else's wand to cast spells. Trying to curb crime by tracking wands was almost impossible.
In the cluttered office, the staff merely had the two fill out a form and explain why they had entered the country. Finally, they glanced at their wands, and that was that.
Only after Su Ming produced the letter of introduction he had "bought" from Minister Fudge did the staff become more enthusiastic, summoning a minor supervisor to receive them.
As for Samuel G. Cohog, the current Speaker of the Magical Congress of the United States of America? A figure like that would never receive two Hogwarts professors unless Dumbledore himself had come.
But this was enough. The head of the registration office clearly wanted to befriend them. Not only did he personally lead them to another floor's "Key to the Door Administration Office," but he also explained many differences between the Magic Worlds of the United States and Britain, hoping they would take note and avoid unnecessary misunderstandings.
For instance, in the United States, one could give alcohol and drugs to young wizards under seventeen, but one could not lend them wands, because that was illegal.
One could not call a Black wizard a nigger to his face unless one was pure-blooded and certain one could defeat him.
Anyone who killed a Muggle had to perform community service in the wizarding community to atone, but killing a wizard could constitute an SSS-class felony. Congress had the authority to bypass the International Confederation of Wizards and sentence foreign wizards to death.
If one accidentally had relations with a young wizard under twelve, it was best to settle privately and get married. Do not use an Oblivion Charm