Do liberal christians believe all non-christians will go to Hell?

No, I had to drop out of a bible study group because they believed this. My church believes that acting like Christ is the same as following Christ, and is the path to salvation. They don't always put it quite that way, and because of all the "rules" they set up, it might not always come off that way, but if you get to know the in the trenches clergy, what I said holds true for the most part. sorry for the run on sentence.