It could be good for a relatively unknown bishop to become pope. An unknown will not necessarily have invested too much in playing the games of politics and could potentially push forward some very valuable changes in the Church.
While it is nice to talk about reuniting the Christian churches, it seems most expedient for the Church to get her own house in order first - namely, curtailing liturgical abuses, addressing the clerical abuses, remedying the homosexual seminarian problems, and working to heal the crises of faith that have arisen for many of the faithful. It would be good to see rifts between the Church and Traditionalist groups like SSPX bridged as well. It is only after the problems plaguing the Western Church are fixed that we can move forward towards the greater unity among Christians that we seek.