Che might be a lot more chic and in tune with today's fashion sense (I myself have even considered owning a highly fashionable and 'oh so cool' Che shirt) but when I have to think things through (unlike with fashion) Alberdi wins. Here is a great comparison of the two by Alvaro Vargas Llosa:
Like Guevara, Alberdi liked to travel: he walked through the pampas and deserts from north to south at the age of fourteen, all the way to Buenos Aires. Like Guevara, Alberdi opposed a tyrant, Juan Manuel Rosas. Like Guevara, Alberdi got a chance to influence a revolutionary leader in power--Justo José de Urquiza, who toppled Rosas in 1852. And like Guevara, Alberdi represented the new government on world tours, and died abroad. But unlike the old and new darling of the left, Alberdi never killed a fly. His book, Bases y puntos de partida para la organización de la República Argentina, was the foundation of the Constitution of 1853 that limited government, opened trade, encouraged immigration, and secured property rights, thereby inaugurating a seventy-year period of astonishing prosperity. He did not meddle in the affairs of other nations, opposing his country's war against Paraguay. His likeness does not adorn Mike Tyson's abdomen.