Seriously, I doubt it would even take that long. We get used to shit so quickly, and the news cycles have to keep feeding us new things, the only way we’d keep talking about the aliens if they kept doing new and interesting things. I’d be willing to bet a year later there would be some people who straight up forgot about it. “Oh yeah, aliens! Are they gonna, like, visit at some point or just keep exchanging calls with the Whitehouse?”
Given how obviously impressionable and just not “on top of things” the politicians are in the US these days, I’m not sure someone could come up with a argument that convinced me that alien life with the ability to do interplanetary travel would waste their time trying to communicate with our leaders.
Within a day they would just decide to kill all of us for the safety of the galaxy.