Uninformed, you are living up to your name. The vast majority of cases never see the courtroom. They settle, meaning a compromise is worked out, and no, it usually isn't the parties saying, "let's just ignore our lawyers and just get it worked out ourselves." The lawyers might posture, bluff, or B.S., but they don't like the work or the risk of trial if they can avoid it. They ultimately want compromise.
In the context of negotiating a business deal, if you don't like the stance your lawyer is taking, then overrule him or at least make him explain himself. You're in charge, not him. If you don't like his style or if you think he's resisting compromise so he can bill you more, then he's not trustworthy, and you should fire him and get somebody else. I'm sure there are plenty out there who would like to have your business.
As for the current inability of Congress to reach compromises, I don't think there's a connection with the occupations of the members. The non-lawyers resist compromise as much as anybody - maybe a little more. The real driving force that is destroying compromise is the polarization of the parties' respective primaries.
Keep in mind that general elections don't matter for about 90 percent of members of congress because of redistricting/gerrymandering. The party primaries are the only elections that really matter to them. Who votes in primary elections? It's the hardcore ideological voters who are politically active. Because of that, if a member of congress forges a compromise, he makes himself susceptible to a primary opponent who will portray the compromiser as ideologically impure. Sadly, that argument works very well in both parties' primary elections.
People already spout off on the Tea Party, but it's no different for Democrats. Suppose Sheila Jackson-Lee were to find religion and decide to stop being a race-baiting dumbass who just spouts abusive and hateful rhetoric to serve her own political interests and decided she wanted to actually serve her country by forging compromises on the big issues of the day. To do that, she'd have to work with the GOP and would have to agree to things the hardcore liberal base of her district opposed.
What would happen to her? Would moderates or conservatives rally around her to make sure she kept her seat? No. A prominent black guy or gal in her district would complain that she's turned into an "Aunt Jemima" who sold out to Whitey, and she'd get shellacked in the Democratic primary. Could she stay on the ballot and run as an Independent? Yes, but the district is about 80 percent Democratic. She'd get hammered in the general election. That's why it's so hard to work out a compromise in Congress. Jackson-Lee is a lawyer (though I doubt she's actually practiced much law), but the same would happen to Eddie Bernice-Johnson, Maxine Waters, and a whole host of other liberal Democrats who aren't lawyers.