Husband & Stepdaughter: Urgent

Sigh. I'm not sure if this is the right place to seek advice, but I'm at my wits' end. My husband's daughter stays with us every other weekend. We have been trying unnecessarily hard to blend our families (I have a five-year-old son with autism and he has a six-year-old daughter.) The kids get along wonderfully, aside from the girl talking to the boy like he's a baby because he doesn't talk yet. I admit there are parenting differences and to be honest, a whole lot I dislike about her. I remind myself frequently that she is just a child, but let me tell you, she's a little too smart for her own good when it comes to manipulation and the like. I've caught her multiple times being sneaky and also lying to my face. I always feel as if I cannot speak up and "parent" her in these situations, and the moment I bring it to my husband's attention, he becomes rash and often in front of his daughter he argues with me or at the least has an attitude with me. She is allowed to do basically what she wants (I do not parent this way and disagree) and also allowed to believe she is an adult and can be involved in adult things and conversations. She repeats things I say moments later as if they are her own original thoughts and DH acts like it's normal while I believe it's anything but. She eavesdrops on my phone calls and adult conversations, putting her two cents in every time. She even tries to parent my autistic son. I have to constantly watch what I say to my son and husband in front of her, even while riding in the car up front with my husband, because she will listen intently and repeat things we discuss later on. I admit, this is infuriating, and even more so that her father does not correct this behavior. Currently, he and I are at odds. When I asked if he could help me with my son because I felt really bad (I'm pregnant), and told him that his daughter needed to be occupied and that she was trying a little too much to parent him and I couldn't take it anymore, he blew up in front of both children and left to take her and her alone to the store for her to buy some things while we were in the middle of this argument. I feel I can't even speak to him about it while she is around because of the way she is. I would have to literally go outside with him and talk, and this is my home and I don't feel as if I should have to do that. If we were to talk in a room and ask her to play or watch TV, she would eavesdrop. It seems that any time I point out her concerning and yes, annoying, behavior to him he gets very angry and acts as if it's me just picking at her and causing problems when in fact I am concerned and if I'm to forge a bond with her I need to understand and be on the same page. At this point, I wonder how long my marriage will last with his approach at arguing in front of her and involving her in our affairs, allowing her to do anything that she pleases, how she treats my son, et cetera. Also, note that I have a baby on the way and she has become intent on shopping for her baby doll, even setting up a nursery, and gets irritated when I buy things for this baby. I could go on and on. I'm honestly not sure which is normal child behavior and what is just her behavior that needs to be addressed. With my son being autistic, I'm not all used to a "normal" child. Please, any explanation or insight or tips or even direction to go with this I would gladly take. Thanks in advance.