Mix Shimano Deore derailleurs with Microshift shifter for Shimano
The stumbling block is that while Shimano mountain and road rear derailers used the same actuation ratio and were fully cross-compatible until the start of 10spd mountain, the front derailers have always used a different cable pull. So if you have a mountain FD as well, you'll probably find it's impossible to get the front shifting set up for no chain rub anywhere, and shifting performance won't be very good. There are many questions here that explore options in this scenario.