I dont think this is a good idea. Be an adult and dont start playing that "we can hurt each other forever" kind of game.
I can relate to what you said that you always felt that coldness from your mom. I have that too. Its hard to explain and the few times I tried to explain to her she gave me a look as if she had no idea what I was talking about. But I know that you and me arent imagining things and that makes it harder. That 2 people can live in the same world and have so different views on things. Tell your mom that she hurt you. I am sure she didnt mean to do that. She maybe had other things or she was angry with you about something.... I am sooo sure there is a good explanation. I mean, gee, think about what she went through to get you onto this world, she wouldnt forget that day, would she?