I'm wondering what type(s) of fabrics you are seaming. Quilting cotton shouldn't shift much. If you are trying to sew together 2 pieces of cotton and they are shifting that much, you should try easing up on your presser foot pressure. if your fabrics are knits or something with a nap, you need lots of pins or try dots of school glue.
The other thing I'm wondering is what project you are making where you need to sew all 4 sides together!