How do I deal with an incompatible spouse without divorce?
It depends on why you are incompatible. If you are incompatible because you have trouble communicating with and understanding one another, those issues can potentially be resolved. Some years ago I attending a fabulous course which helped me understand that a lot of the problems we have with one another are because different types of people tend to communicate in different ways. When you expect people to communicate in the same way you do, this causes myriad problems. So my recommendation is that you study how different people communicate and learn how to accept each other's styles. Perhaps consider counseling with a marriage counselor so you can work through your issues.