I'm going to focus on the first part of your post, and speak in broader party terms. With the second part of your post, I'll narrow it down to just one side.
I want nothing to with finding common ground with liberals. We are where we are today because Repubs moved left with the dems.
And that is the major problems with both parties. Republicans often times refuse to find common ground with democrats, because they think they are too liberal. At the same time, democrats refuse to find common ground with republicans, because they think they are too conservative. Put it all together, and not a damn thing gets done in Washington, and we have convoluted legislation that is passed that makes everything worse, not better.
, the reason this type of mentality is wrong is because this country is founded on freedom, and people have the right to express views, opinions, etc. In addition, no two people will have the exact same opinions on every single topic. Just because you don't agree with someone, doesn't mean you should automatically refuse to listen to their point of view. Sometimes, even the opposing side can have good input. By working together, often times better legislation can result.
My reference to finding common ground is among conservatives.
This next part also directly correlates to what I just said about democrats vs. republicans (or even conservatives vs. liberals). Your idea of a "conservative" can be different than someone else's idea of a "conservative". No two conservatives are the same. Heck, identical twins can have different views on some things. So what makes you right, and the other person wrong? Absolutely nothing. Both can be right at times, and wrong at times. Just because you have a point of view that you firmly believe in, doesn't mean that it's right for everyone else. Sometimes conservatives have good ideas for tackling a problem or an issue, and sometimes liberals have a good idea too. Just because you label them in a certain category doesn't mean they are automatically wrong 100% of the time.
Again, that's why I don't support parties anymore. They adopt the mentality that they are correct and know it all, and refuse to listen to any voice of reason that might be seen as an opposing point of view, even if that voice of reason is a better idea, and better overall for the country. All they do is see a label in front of someone's name (a "D" or an "R"), and automatically they think that person is wrong, without even taking the time to listen. To narrow it down to one party (say republicans for instance), some republicans will refuse to listen to others, simply because they believe they aren't conservative enough.
There are over 300 million people in this country. It's impossible for all 300 million to agree 100% of the time. However, nearly all 300 million can find common ground. That's how it should work. Unfortunately, it doesn't happen right now, and it never will as long as people keep focusing on the labels rather than the issues.
That's my 2 cents.