The sentence you posted tries to establish a relationship with the audience. The fact that it states: "on my part and yours" is a big clue. Also, it says "we face our common difficulties." The author is trying to say, "Let's join forces for the better good on my part AND yours. If we do, we will be able to concure (sorry for the typo) all our fears together."
See how its the last answer? Hope this helps!!!!! (: