Wow, you sound just like me! I have recently joined mamasource and this will be my first post. I couldn't pass this up since I am in the same situation.
I have a 2 year old (Benjamin) and a 7 month old (Christopher). When I was pregnant with Christopher, we started sending Benjamin to "school" twice a week. We really did it because Benjamin was a late talker and we thought it would help him learn to talk. That worked very well.
It took a couple of months for Benjamin to adjust to being away from home. However, he seemed to be much better behaved for the day care. You will probably notice this too. I remember reading somewhere (I don't remember where) that children will act out more with you than others since you are the one that they are trying to assert their independence from.
Anyway, our biggest issue with Benjamin is the sleeping. Even as a baby, he just screamed until he fell asleep. Our doctor told us to just let him scream, but we did try other methods as well. Nothing worked, so every night we just listened to him - it broke out hearts.
Very early on, Benjamin learned to climb out of his crib. So, we turned the lock around on his door so that at least he would stay in his room if we locked him in. We also bought a video monitor so that we could make sure he didn't hurt himself. We watched him destroy his room every night. He did things that I didn't think a 2 year old would be able to do. But, eventually he did turn out the light and pass out on his bed.
I wouldn't recommend riding around in the car, I think that would just make it worse because he would think he needed the car to fall asleep. Although, if it had worked with my son, I may have done that too.
Believe it or not, the daycare is what helped the most. We got lucky and got a great teacher. She said that Benjamin went against everything she ever learned about children and she had to rethink her teaching methods when it came to him. She even told me (much later) that she would take aspirin before coming into work on the days that she knew he would be there.
She made sure that during nap time she stayed with him and rubbed his back. He also liked her rubbing her fingers through his hair and lightly over his face. She was so great that she even came over and showed me how to do it.
Of course, that didn't work for me. But, he was getting naps at least 2x per week at school. Also, I started to notice that he took naps better for Daddy than me. By the way, I know that there can be a lot of fighting when the kids are this young. My husband and I fight a lot too - it is mostly resenting the other one. I resent him for not doing more around the house and he resents me for asking after he has worked hard all day. Just make sure that you don't fight around the kids or that they can hear it from their rooms. Also, please talk about these issues with your husband. My husband and I make sure that we sit down when we are not upset with each other so that we can calmly talk about what is bothering us about the other person. If you both go into that conversation knowing that you both want to work things out and that you don't want to hurt each other by what you say, you really can try to meet on a common ground.
Anyway, back to the nap... at night, we started to do the exact same routine every night. Daddy would give a bath while I nursed the baby and put him down. Then, we would both get Benjamin into his pajamas, brush his teeth, and read him a bedtime story. Still he cried.
He did that same thing with crying no about everything and just screaming when things didn't go his way. Since he is talking more, I have started telling him to stop screaming and use his words. This actually helps a lot.
At night, I asked him to stop screaming and use his words. He actually did it once. He said "no shut door" He wanted us to leave his door open when we left. Well, we never tried that since he would just get out of bed, but we thought we'd give it a try. We were firm. We told him that if he got out of bed, we would shut the door. We watched on the monitor and he did get out of bed the first time. We put him back in bed and shut the door. He ran around screaming. However, we tried it again the next night and reminded him that if he got out of bed we would shut the door. It worked! Now, every night we say "What happens if you get out of bed?" and he says "Shut the door." He stays in bed every night now. Of course, he is now starting to ask us for other things, like staying in his room and sleeping in his room, so he still screams. But, at least he is in his bed.
For naps, I have tried all this and it doesn't work. I still lock him in his room. However, I have noticed that on the days that he gets a lot of activity before nap time, he does fall asleep. On slow days he doesn't nap - just plays.