I usually deal with people who don't have strong opinions either way, so I try to convince them. Given total non-compatibilists, what you do makes sense.
Also, it struck me today that this gives a way of one-boxing within CDT. If you naively blackbox prediction, you would get an expected utility table {{1000,0},{1e6+1e3,1e6}} where two-boxing always gives you 1000 dollars more.
But, once you realise that you might be a simulated version, the expected utility of one-boxing is 1e6 but of two-boxing is now is 5e5+1e3. So, one-box.
A similar analysis applies to the counterfactual mugging.
Further, this argument actually creates immunity to the response 'I'll just find a qubit arbitrarily far back in time and use the measurement result to decide.' I think a self-respecting TDT would also have this immunity, but there's a lot to be said for finding out where theories fail - and Newcomb's problem (if you assume the argument about you-completeness) seems not to be such a place for CDT.
Disclaimer: My formal knowledge of CDT is from wikipedia and can be summarised as 'choose A that maximises %20=%20\Sigma_i%20P(A%20\rightarrow%20O_i)%20D(O_i)$) where D is the desirability function and P the probability function.'
Scott Aaronson has a new 85 page essay up, titled "The Ghost in the Quantum Turing Machine". (Abstract here.) In Section 2.11 (Singulatarianism) he explicitly mentions Eliezer as an influence. But that's just a starting point, and he then moves in a direction that's very far from any kind of LW consensus. Among other things, he suggests that a crucial qualitative difference between a person and a digital upload is that the laws of physics prohibit making perfect copies of a person. Personally, I find the arguments completely unconvincing, but Aaronson is always thought-provoking and fun to read, and this is a good excuse to read about things like (I quote the abstract) "the No-Cloning Theorem, the measurement problem, decoherence, chaos, the arrow of time, the holographic principle, Newcomb's paradox, Boltzmann brains, algorithmic information theory, and the Common Prior Assumption". This is not just a shopping list of buzzwords, these are all important components of the author's main argument. It unfortunately still seems weak to me, but the time spent reading it is not wasted at all.