No. This kind of approach is more likely to anger your wife. It's also likely to position you even more as the kind of person that she wouldn't want to be with and give her more ways to validate the choices she's making because you'll appear to be the bad guy.
If you absolutely must write something, write it in a password protected file on your computer. Use it to vent and get out everything you want to say in a safe, private way.
M - 34 H - 36 Together 10 years Married 4 years BD - March, 2014