Who is parenting? Mom and Dad or the child?
Someone needs to step up to the plate (or pot) and take control of the situation, and it would not be appropriate for you to do so. Judging just from this one big problem, it would seem that your step-daughter is being spoiled. All adults involved in her life will pay for that in the future, so something needs to change very soon. Either Dad or Mom (preferably both) need to put their foot down, ignore the temper tantrums, and make her gradually take the big step that she should have taken long ago.
I am always amazed when parents say, "I know she should be doing this, but she says she doesn't want to." Tough! She'll get over it. I would bet a lot of money that nobody has ever been emotionally scarred over toilet training. I would also bet that is where the problem lies - the parents don't want to hurt the little munchkin's feelings. Too bad. Mom and Dad need to get tough now or suffer much more later. As for the child's emotional scars, just imagine how bad those scars from other kids will be when they learn that she doesn't use the toilet.
What will be next? "I know she should learn her spelling, but she says she doesn't want to." "She should wear a top in public, but she doesn't like to wear tops." Sounds extreme, but so does this problem - I mean, really - still in diapers at 5-years old?
Bottom line: stop letting the child be the parent.