Daisy trembled and cried when we first started taking her out in the car.
Now she LOVES the car.
What we did was have someone hold her in the passenger seat to give her a sense of security and so that she could see out the windows as we were driving. It took numerous rides but each time after she got a little more calmer. We weaned her into a doggie booster seat after the crying & trembling stopped. She loves the car now weather or not she is in her seat.
Best of luck. Hope it works out for you.