In Alsace Pinot Noir is used to make rosé wines and red wines called Pinot noir rouge. These wines are very similar to red Burgundy and Beaujolais wines and are consumed chilled. Prominent examples are Rouge de Barr and Rouge d'Ottrott. Pinot noir rouge is the only red wine produced in Alsace.
I do not like Beaujolais wine. To me it is closer to grape juice, high in fruits but very low in other, more interesting aromas. The Klippel Rouge de Barr Pinot Noir 2005 was as dull as a Beaujolais and hardly worth ordering.
So if offered a Alsatian red wine, be sure that you like Beaujolais, before ordering. In my mind, there are so much better wines made from Gewürztraminer or Riesling grapes. These white wines have much more character and better served cold, than the red Pinot Noir.