Carry, I respect your intelligence, but what you're saying in this regard has me baffled to be honest.
First you say that children are not responsible.
Which is correct.
Then you say that their legal guardians are. And then so are they....??
So where in scripture does it state that the son is responsible for the father's sins?
Nowhere.
If what you state is correct,,,,,then a guardian's effect of baptism would be passed on to the child and this is also not correct.
We are responsible ONLY for our own sins:
2 Corinthians 5:10
For we must all appear before the judgment seat of Christ, so that each one may receive what is due for what he has done in the body, whether good or evil.
Galatians 6:5
For each will have to bear his own load.
Ezekiel 18:20
The soul who sins shall die. The son shall not suffer for the iniquity of the father, nor the father suffer for the iniquity of the son. The righteousness of the righteous shall be upon himself, and the wickedness of the wicked shall be upon himself.
James 4:17
So whoever knows the right thing to do and fails to do it, for him it is sin.