I care. You make some good points but here are some issues.
I don't think it is true that Mystery Babylon shouldn't matter to those who believe in a pre-trip rapture. This Mystery Babylon is a system that is probably developing in the world long before the Tribulation. So if it is wrong for Christians to be a part of this evil system during the Tribulation then it should be just as wrong for Christians even before the Tribulation and rapture.
And I don't think you should associate the belief in a pre-trib rapture with the false doctrine that the liberal church has been promoting for many years which is that under the influence of Christianity the world will continue to get better and better and more holy until it finally morphs into the sinless heavenly kingdom. People who believe that don't believe in a pre-trib rapture and vice versa.
And I think you previously said you believe in a mid-trib or a pre-wrath rapture as opposed to post-trib. If I am wrong about that please correct me. But here is what I don't understand about the mid-trib view. When I previously had a rapture discussion with Pastor Guest, who I think is mid-trib, he identified the seventh trumpet of Rev 11:15 as the "last trumpet" of 1Cor 15:52 when the rapture occurs because the seventh trumpet is the last trumpet mentioned in Revelation.
But many tremendous events mentioned in Revelation occur after the seventh trumpet sounds - the woman clothed with the sun, Satan thrown down to the earth, the beast out of the sea and the beast our of the earth, etc. And God's call for His people to come out of Babylon comes in Rev 18:4. So if the rapture has already occurred, then this call from God isn't intended for anyone who would have been raptured at the seventh trumpet.