You're taking Brazilian jiu-jitsu, right? If so, BJJ is definitely a more complete grappling style than freestyle or greco wrestling. When comparing pure BJJ and pure wrestling, wrestlers generally get better than BJJ'ers at takedowns and throws and develop a good sense of control when on top of an opponent. However, pure wrestlers, without training in other styles, are usually not good on their backs and don't know the proper techniques to defend or apply submissions. Nowadays, every successful wrestler in MMA, such as Matt Hughes, has cross-trained in BJJ so that they develop a good guard and submission techniques.
For examples of wrestlers in MMA who don't seem to have done enough cross-training, check out Hammerhouse fighters such as Mark Coleman and Kevin Randleman. Getting submitted has been their downfalls thus far, and even more so if it weren't so physically big and strong.
Btw, I also want to give you props for serving.