I am currently a graduate student at the University of Central Florida studying exercise science. My ultimate goal is to learn how to train athletes physically and mentally for demanding sports. Sport psychology is a very new field and there are not a lot of programs in it. I would encourage anyone in this field to fully learn the psychological processes AND the physical processes involved in training. That means, train yourself for the exercise aspect as if you were just a coach or trainer in addition to the psychological aspect.
There are not a lot of jobs out there for sport psychologists. Since this is a new field, many graduates essentially end up being the "team mom/dad" for various sports teams at all levels. They're with the athletes for basic counseling needs when the athletes just "need to talk."
Before committing to this field, I would consider exactly what you want to do with it. Do you want to do research, train athletes, run private counseling sessions, or use psychological skills training? All of these require special training and some of these do not need a degree in sport and exercise psychology at all.
Also, it looks like this webpage is no longer being updated and almost all the websites on their "about" section no longer work. Bad sign.
I did a thesis on mental blocks as an undergrad. There is a lot of research that needs to be done in all sports regarding mental blocks. All sports have these!