The only enforcement method is that I won’t take your argument seriously, and that I will advocate that others do not as well.
Then make those secular arguments for anti-abortion or anti-LGBTQ positions. If you are motivated to do so informed on your beliefs, that is fine. But asking me to humor your beliefs for the purpose of imposing your will on others is not, IMHO, fine.
“It’s Adam and Eve, not Adam and Steve” is not a valid, IMHO, argument. Using the bible to justify discrimination or using “Religious Freedom Acts” to enable such are not basing an argument on a secular position.
As an example, I would point to the infamous Hobby Lobby case, where they wished to impose their religious beliefs upon their employees. Their justification was that they were religious, they had no secular reason behind their arguments. That is the sort of imposing of religious beliefs on others that I do not think should be considered acceptable.
If you can make an anti-abortion argument without invoking souls or the sanctity or sacredness of life, then do so. The argument can be evaluated on its merits. If you have to rely on church or liturgical interpretations to back your argument, then I do not think it should be considered seriously. I am not saying that, in this culture steeped in religion, it is not taken seriously, I am just saying that I will not, and I would advocate that others do not as well.
I derive all my ethics from pure selfishness, the only honest place to start. I can tell you how everything from stealing to murder to poverty to war negatively effects me. Can you tell me how someone else’s abortion or someone else being of a sexual orientation or gender identification of their choosing negatively effects you?
Once you have explained the harm that these other people’s actions are doing to you, then we can weigh that harm against the harm that will be done to them if your will is imposed.
TBH, I’ve yet to see a compelling argument for anti-abortion or LGBTQ positions that didn’t fall back on religious belief at some point. (Or maliciously fabricated or misinterpreted data.)
ETA: I used “you” a bunch, and I mean it to be used against anyone posing such arguments, not actually addressing you, @ISiddiqui.