the camera cable socket if definitely fixable I have done this many times. It is not for the faint of heart and you will definitely need a scope and fine tipped soldering iron to do so.
I would not attempt to take the glass off the front of a unibody Macbook Pro unless I was prepared to buy a replacement. I broke the first three that I tried to remove myself...Replacement glass runs around $50.
I have never heard of a faulty camera causing high fan speeds. I have seen some funny problems when a USB circuit is shorted, although it usually just causes the computer not to post. Can you post a high res picture of the connector that is broken?