I'm a Canadian dealing with child support case from an American mother. Baby not born yet
No baby = no child support case -- i.e., you cannot be "dealing with [a] child support case" for an unborn baby.
I got mislead into this trap.
No you didn't. Unless you're going to claim that she raped you, you willingly had unprotected sex, which means you willingly accepted the potential consequences, including a pregnancy.
Now, she's coming after me for child support because she knows it'll be hard for me to get involved with the baby due to distance and nature of my work.
Or maybe, just maybe, she intends to seek child support because she expects the father to help support the child he willingly helped to create. Again, actions have consequences.
The family law of her State says that I have no way out of this even if I dissolve my parental right.
The laws of every U.S. state provide that parents must financially support their children, and no U.S. state allows a parent to escape that obligation by "dissolv[ing] [his or her] parental rights."
Do I have to fill it out?
You're not obligated to cooperate in any way. While she can seek child support in her state (which I assume is Michigan), there are a couple of threshold issues. Where did the sex that resulted in this pregnancy take place? If it wasn't in Michigan, then she may have difficulty getting jurisdiction over you. Obviously, in order to obtain a child support order, she'll have to establish your paternity, and you are free not to cooperate in that process.
She only knows that I live in Canada and who I work for and nothing else.
So...she doesn't know your name or where you live (not even the province)?
Is it safe to do it this way or will there be big penalties and get arrested?
I'm not sure what "this way" means, but the only way you might get arrested is if you willingly refuse to pay support pursuant to a valid court order.
I did not want to get into the details of how I think she got pregnant because at the end the court won't even bother listing to me if I have solid proof that she found tricky ways to get pregnant.
I'm not sure if you're questioning that some other man might be the father (a definite possibility) or suggesting that she might have been artificially inseminated. In any even, your comment about a woman gets pregnant because of "tricky ways" is nonsense.
there isn't any court in this earth that will listen to a man's case when it comes to questioning a pregnancy regardless whether it's yours or not.
I was looking for answers on how will both government handle this case due to currency differences (CAD to USD), standard of living and child from first relationship.
Ummm...that's not at all what you asked, but this question is really vague, so I'm not sure what exactly it means. Obviously, any U.S. court will take the exchange rate into account.