Maybe have a look at this: http://french.about.com/library/pronunciation/bl-liaisons.htm
Yes, it is wrong. Although Je cours can mean I am running or I run. In English they do not mean the same thing. I am running means that is what I am currently doing at that moment in time. I run does not refer to what I am currently doing, but that I repeatedly perform that activity (running) and will continue to do so. Clearly this French sentence is the latter meaning.