America culture may also face the same impact as the British Culture. House of cards had a big impact on the British culture that is evident by the phrases being used in the House of Commons. As it is defined, culture is a people's way of life, therefore the people's way of life can be determined by what they experience in their daily lives.
The entertainment industry, such as broadcast television, has always had an impact of popular culture here in the United States. Seeing as House of Cards is based on our political process, and is such a popular show, it just goes to reason that it will have its own impact as well.
Yes, there will be a similar impact in America because the show is incredibly popular and has revealed the true nature of politics. Even politicians cannot help but watch. Netflix has risen tremendously thanks to the popularity of this show. Frank Underwood represents a lot of the corruption in modern politics.
Barack Obama is quite the hip president. He is the only president to do an actual "mic drop" when proving a point. Americans love fads. We love the new hot-ticket shows. I still hear the line "Winter is Coming" referenced in day to day conversation since it debuted on HBO's "Game of Thrones".