Alexander began his journalistic career at age 20 at his local newspaper in Mainz. He then moved to the public television station ZDF, where he served as the newsroom's youngest editor, completing stints in studios in New York and London.
Alexander worked as a freelance writer for Die Welt, the Frankfurter Allgemeine Zeitung, and the Süddeutsche Zeitung. As an intern at Radio Vatican in Rome, he anchored the German news program before moving from journalism into politics. In 2006, he was appointed deputy spokesman for the conservative CDU caucus in the German Bundestag. In 2007, he was hired by the car manufacturer BMW as editor-in-chief for its online magazine. In 2008, Alexander returned to journalism as the online editor for the political magazine Cicero. In 2009, he founded the debate-magazine The European, which he ran until his media company was successfully acquired in the summer of 2015. In fall of 2016, Alex founded the media initiative www.saveliberaldemocracy.com. Alex' op-eds have appeared in German and international media outlets, including Mediapart in France, Linkiesta in Italy, Der Standard in Austria, and The Huffington Post in the USA.
Since September 2016 Alexander is an op-ed contributor to The New York Times, The World Post and The American Prospect. He is an essayist to German media as well, including ZEIT ONLINE, Die Welt, and FOCUS Magazine. He is also a columnist to Wirtschaftswoche, the country's biggest weekly business magazine.