I thought I'd give a little info on the professors I know, to ease the 0L nerves here.
Taylor - Puts everyone's name on notecards, and rotates calling on you for cases. That's the only calling he does, never cold called people otherwise when I had him for contracts. Expects you to be prepared and asks tough questions, but is pretty soft if you aren't prepared. If we didn't know an answer, he just asked for a volunteer to help with it. Exams are absolutely brutal; work fast, he's not looking for deep analysis, just issue spotting.
Palacios - Nice lady. Not a very interesting professor. No real "cold calling"; she does review questions before each class, and the people she chooses to answer the review questions are the people who get called on for cases that day. If I recall, getting called on consisted of reciting the facts, and her asking how you felt about the outcome. Pretty easy. Her exam was half MC and half essay. At least half the MC was the review questions she did before class. (Literally, they were the exact same questions and answer choices.) It's an easy final, so the curve will be very tight.
Gaba - I had him for Environmental Law, not Property. He's a funny hippie that looks like he smoked too much pot. Kind of boring, but he's really smart. His exam was easy, and he didn't call on anyone in my upper level class. I imagine he'll call on people in the 1L classes. Pretty typical essay exams.
Bridge - Never had him, but he's an SMU legend. I've been told he's a pretty classical Socratic hardass: cold calls all over the room, makes you stand and recite, and gives very difficult exams. Don't envy y'all in section 2, I've managed to skate by without ever having him.
Dorsaneo - Entertaining, and probably certifiably crazy. I had him for his upper level Texas Civil Procedure courses. He "cold called" for practice questions and some cases, but didn't care if you didn't know answers. I've been told he calls on people more in 1L Civil Procedure. Both his 2L exams I took were pure MC and open everything (book, notes, old outlines, etc.). Easy exams, tons of war stories. He's racist, sexist, and completely politically incorrect. Loved him.
Martinez - Likes to facilitate long classroom discussions. Sometimes he'll spend an entire day letting you argue over something pointless, then he'll spend the next day racing through lecture to catch up. His lectures follow exactly "The Martinez Bible," which I'll be uploading with other outlines soon. Literally, the questions he asks and answers are straight from it. Just print a copy of it out and use it when you're called on. Exams will be essay and can be done purely with canned answers, so make them in advance.