I can see what you’re saying about that almost sounding creepy. But that certainly isn’t what Randy is conveying. Here is what else he has written that I hope might help.

Tragically,  most people do not find their joy in Christ and Heaven. In fact, many people find no joy at all when they think about Heaven.

Writing about this verse, Randy says, “‘All things’ is broad and comprehensive (ESV, NASB, LSB, NCV). Of all things in Heaven and on Earth, absolutely nothing will be left out. All will be brought under the rule of Jesus (with the specific, designated exceptions of fallen angels and people who reject salvation in Christ).”

In this clip from a student session at the Kingdom Advisors Conference, Randy uses the illustration of living for the line, not the dot, to show the importance of living with a heavenly perspective.

In my years of writing about Heaven, I’ve found there are dozens of questions I'm repeatedly asked. I enjoyed answering several during my conversation with Josh Lewis and Michael Rowntree, on their podcast The Remnant Radio.

In this clip from a Q&A at the Kingdom Advisors Conference, Randy points out that many Christians do not think tangibly about the physical resurrection believers will experience on the New Earth.

At the Christian Book Expo 2009, Randy Alcorn, Sam Storms, Don Piper and J.I. Packer had a panel discussion on Heaven and Hell. In this clip J.I. Packer reads from Randy's book "Heaven".

Randy Alcorn had a conversation with Josh Lewis & Michael Rowntree on The Remnant Radio to discuss what Heaven will be like. He shares how, through studying Scripture, he discovered what God's Word says about Heaven and the New Earth. Randy also addresses what Scripture tells us about the experiences of believers and non-believers after death.

I think you might be confusing the word “mortal” with “finite.” We will no longer be mortal (subject to death) on the New Earth like we are presently. God’s gift of eternal life in Him means we will be immortal and live forever with Him.