Liberals do not accommodate values that contradict their ideology any worse than Conservatives, they both suck. Liberalism used to be about working with less restraints, now it's in favor of governmental control more than conservatism ever has been.
I think this argument should be framed, idealism vs realism. Both sides are far too idealistic in their ability to accommodate other values, or make any room for compromising solutions. It's why Congress is becoming so ineffective and the partisan divide and rancor increasing. Emotionalism can blind anyone to reason, because it gets too personal and about "my side" and "winning".
Idealism is not a wrong concept, it's where we get some of our nobler thoughts, it's just not always applicable. Whereas realism is more about what's readily achievable and pragmatic, though it can often be at a lower level of success than what's possible.
The trick is finding the balancing factor between the two, common sense, and not allowing competitive- emotional factors to control the rational thought processes.