Do you think there will be a female Pope in our lifetime?
Not in our lifetime, if ever. The Church would have to make some major changes for that to happen, changes that the previous pope JPII essentially said were impossible. But this has not stopped the debate on the subject of ordained women. That is a question that will have to be settled before there could ever be a women as pope since the pope is also bishop of Rome and would therefore have to be ordained. It is possible that the Church could appoint women as cardinals, and there is historical evidence to support the ordination of women as deaconess. However, the possibility of a female priest, bishop, or pope is something that will take centuries to work out. If it happens it will most certainly not happen in our lifetime.
Do you think that the Catholic church can overcome centuries of internal sexism to become a truly equal organization?
I don't think the Churches refusal to ordain women is based on any kind of sexism, I think it is based on theological reasons. Having said that, the Church is moving in a direction of a more visible presence of women in Church leadership. Here is one recent example:
"On Jan. 21, 2010 Pope Benedict XVI named Italian lay woman Flaminia Giovanelli, 61, a longtime official of the Pontifical Council for Justice and Peace, as the new under-secretary of that council."
NCR
So although we are unlikely to see women in ordained roles in the Church in our lifetime we are already seeing a growth of lay women in key leadership roles throughout the Church.
But the real question here is ordination and equality. I think it is assumed that there can never be true equality in the Church without the ordination of women. I am not so sure about this. And I don't think it is a matter of ability either. I know that women could be just as good, if not better, than men in the pastoral role of priest. But the priesthood is not a job. Its not just about the work. There is a deeper reality to the priesthood that brings up metaphysical, philosophical, and theological questions.