I don't live on my computer like you do. So I have no intention of posting there, given all the posters who would likely respond. Just don't have the time. The only difference between your "tack" and mine is that I'd just tell them directly that Christ died for their sins, and gives eternal life to them for believing in Him for it. Something that you could do, if so inclined.
Once they hear that, all excuses evaporate. And God's Word never comes back void. Meaning, that He is glorified when people respond to His grace, and He is glorified when people reject His grace and receive His justice.
How about telling them what I would say and let me know the response.