The bible clearly said to pour the blood on the ground, not into a centrifuge where it will be separated into parts and then you can pick and choose which parts you feel comfortable using. This right here seems to negate their alcohol analogy
If you cut yourself would you hesitate to clean the cut with alcohol because of your doctor's orders.
If for whatever reason you were in a situation where alcohol was the only way to save your life who's advice would you listen to?
Acts 15:29 doesn't even seem to be a a command but more of a warning or sage advice. It sounds to me like there was something specific going on in Antioch, Syria and Cilicia that prompted the writing of the letter. Compare it to the advice you might give someone going off to college for the first time.
It could easily be applied as a warning against making too many rules and regulations.
The problem is that it is a nonsensical Homeresque argument that makes sense when you hear it but not so much when you think about it.
Example of a Homeresque argument:
Marge Simpson "Homer the plant called and said if you don't come to work on Friday don't bother showing up on Monday."
Homer: "Woo hoo 4 day weekend!"