Would our Congress be more or less functional without party ideology?

We have a parliamentary system in our Congress, which many see as only being functional if the various parties and caucuses strictly vote together to achieve a goal.
I take a different view. Having some experience at researching in order to arrive at an informed opinion on public policy, I find that once all the facts are considered, generally the question isn’t whether one course or another should be pursued; the question almost always reduces itself to what is the most fair and responsible method to pursue the obvious course.
For this reason, I advocate strongly for our representatives in Congress to consider party ideology last, and constituents first. What is best for Republicans in Connecticut isn’t the same as what is best for Republicans in Alaska, and the job of the Representatives and Senators from each state is to consider what is best for the people who live in their particular state, not the Republican party as a whole. The same is true for Democrats.
The idea that Republicans and Democrats are required to have polar opposite views is just silly; the point of government in general, and our republic in particular, is to do what is best for all of our citizens. Additionally, my research has repeatedly shown me that what is best for the least of these has positive impacts for those in the upper echelons of society. Why, then, do we have a Congress so deeply divided? Who stands to benefit from these practices? Arguably, nobody.

With so many vital issues at hand in the world, why are we insisting on creating more by ignoring facts in favor of ideology?