So, I guess my response is "#1) God is a prankster and deliberately set up the universe to trick us", rephrased as "#1) God is a pragmatist, and deliberately aged the universe, solar system, and earth to provide the perfect habitat for supporting life."
Then you need to show that the absence of these short lived isotopes is necessary for a viable habitat.
The problem is not an apparent age. It is an apparent HISTORY. It is not like God creating an adult instead of an embryo. It is more similar to God creating Adam with scars from injuries that he never suffered. The absence of specific short lived isotopes is an apparent history for the solar system.
The inherent premise of this objection is that long half-life elements, which presumably were deposited on earth's crust during the formation of the planet, still exist, while the shorter half-life elements have all "decayed away".
So, if we accept this premise, the only logical conclusion is: All of the long half-life elements on this list (not naturally renewed), should have the exact same "age" - they should all date to the formation of the sun/earth.
Do they? Do they all always show up in the exact same parent/daughter ratios? That information is not supplied - anyone have a reference? If they do all date to the same age, it doesn't invalidate YEC (see 1 above), but if they don't, then it completely removes this phenomena as an evidence for an old earth.
I don't think it is possible to measure the Earth's total volume of specific isotopes.
Also, you can not date atoms. You can't pull out a uranium atom and do a test to see how old it is.
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