There is no such thing as liberal or conservative Catholic groups. There are only orthodox Catholics. You either accept the faith or you don't. I realize people don't accept all aspects of the faith. In those cases they are believing what they want and not what the church teaches. The Catholic Church doesn't care about what these so called "liberal" groups are saying. It's irrelevant.
There are movments in the Catholic Church and what I'm mainly talking about is liturgical movements.
There is the Restoring the Pre-conciliar which pretty much they want stuff to go back to pre-vatican II. This includes SSPX and groups like that I would be very very shocked if anyone from this group would be even considered.
There is the Reform of the Reform, this accpets Vat 2 but opposes alot of the way it was applied Pope Benedict is in this group, and if the movement of the Liturgy continues to go the way Benedict wants it to the next pope would have to agree with this. I suspect that the next pope will be from this group.
There is the incultrurating the reform, which is pretty much taking things from cultures and applying to the liturgy but more on the extreme side I believe.
Lastly there is the Re-Catholicizing the Liturgy This is stuff like Primacy of spiritual over structural along with other things. Don't know to much detail about it. If you know the name Hans Urs von Balthasar he is one of the main figures behind this movement.
I don't know what some of the Cardinals fit under which category. But I suspect it won't be a real radical group like the pre-conciler or not even inculturizaiton. I suspect that the next Pope will be Reform of the Reform or RE-Catholicizing. This may not sound like a huge deal in the Church but I think it means a whole lot, Pope Benedict did alot to try to improve the liturgy and the next Pope could either continue his effort which I think he will or he will go against what Pope Benedict did. With all of the new translations of liturgies and readings and all of that coming out, Liturgy will be a big part of the next papcy.
Another thing no Papal Candidate will not be orthodox, but in the Church there are many issues that are kinda muddy and not clear, who we elect could have an impact on some of these issues. Like evolution, unborn babies who are aborted, some deep theolgoical issues I probably couldn't really get into. My point is that it does matter who is the next pope and it will have a an impact on the Church, and the Liberal groups in the church will try to influence things which they can't.