Again, I see nothing here to suggest I got your statement wrong. You made it clear that Roe v. Wade made it impossible for men to have equal rights, so with that in mind it is obvious that the solution for men is to fight to overturn the decision. The only other solution to the problem is to move towards demanding for an opt-in that makes men's involvement dependent on written agreement.
Well, for eons I've argued that a way to reduce reproductive liabilities between sex partners would be States allowing contractual agreements to be used. Currently, I don't know which states, if any, honors such a contract, but I can see that approach being a less stringent of a legal challenge to get states to accept these contracts before they would automatically allow Opt Out rights.
Contracts would be a viable method for long-term relationships. One night stands would pose a different challenge.
The overturning of R v W won't achieve an Opting Out option for men. In fact, there would most likely be a substantial spike in birth rates of unwanted children. That, in turn, would assuredly increase support suits.
The legal mechanisms that emanates from R v W versus the States' role in serving as child support enforcers aren't technically related.
How Roe v Wade impacts men:
1) Women aren't obligated to inform her co-conceiver that a conception has occurred.
2) A woman isn't required to obtain permission or even disclose to her co-co-conceiver that she intends to have an abortion.
3) A woman can surrender a child to a Safe Haven organization without permission from her co-conceived.
4) Women can give birth without notifying her co-conceived.
5) A woman can't be forced to gestate and give birth on behalf of her co-conceived in order to possibly surrender the child to the man.
6) A lot of states don't require the biological father's name be listed on a birth certificate immediately after birth. But either parent can request a court order for a paternity test and then one or the other parents can sue for custody, which will also force the court to seek support.
Individual States created their on specific custody and child support laws.
As I understand it...(and laws will vary from state to state), but....
A possible parental right for men is the right to consent or object to the adoption of ones child. Generally, adoption requires the consent of both parents,
provided they meet certain requirements.
To gain parental rights, including the right to object to adoption, biological fathers unmarried to the mother must not only establish paternity, but also demonstrate a commitment to parenting the child. Then a hearing will be held to determine custody rights and child support requirements.
Bottom line....
No matter if Roe v Wade is overturned - men won't be seeing the right to opt out any time soon.