Hi, Cory. I sure don't have a problem with whatever you want to dye them. Heck, they are your cabinets and your house. Sounds like you have done your homework on the aniline dye. Just be careful if you ever put bleach on your contertops or you could have big problems.
I do have a problem with painting the interiors black. I think that you are going to have problems seeing what is in there, particularly in base cabinets. A flat black finish will really absorb the light. You might find that you will need a flashlight around to get that big pot out of the back of your base cabinet. If you wanted to do glass fronted hanging cabinets black inside, I could see that.