The federal Constitution does not require individuals to dispense due process before taking a life, it places that duty upon the state. Generally, it is not the state that performs the abortions but private citizen. So your argument is that there must be somewhere in the federal Constitution a requirement that compels a state of the union to prohibit abortion by a private citizen.
Is there?
As to communicable diseases being spread by buggery, are they not also spread by heterosexual intercourse? Does the state have the power to prohibit heterosexual intercourse because of the spread of STDs?
How does this fit into the federal Constitution?
I'm not raising these points to be cute or to be unduly contentious, but I do think it is important for us to understand the bases upon which we assert our conservative principles over the lives of others.
For the record, I am adamantly opposed to abortion and believe it should be outlawed. As to buggery, I would not vote in favor of a referendum permitting it but neither would I unleash the criminal law against acts committed by consenting adults in private.
Both state abortion and private abortion may be regulated by the state. Due process for state actions, and the right to life (Ninth Amendment) a civil right allows the state to regulate private citizens actions to conform to the law and due process.
The Constitution is purposed for (among other things) to "promote the general welfare" allowing restrictions on the liberties of infected individuals regardless of the orientation of their sexual contact. This is tested existing law.