I think it is going to have to be a slow process.
First, you should try to convince him on the intellectual level that cryonics is feasible. If he is willing to read and likes science, this might be a good post to send him a link of: http://chronopause.com/index.php/2011/02/23/does-personal-identity-survive-cryopreservation/. I also might send him a link to the wikipedia page: http://en.wikipedia.org/wiki/Cryonics, which is pretty balanced. Frame it is an academic exercise. Who knows, maybe he can poke some holes in it? (And if he does, please report them back here.)
Second, only once (and if) he becomes convinced of its academic merits would I try to convince him to personally sign up. At that point I would pull out the “I’m your son and don’t want to see your identity erased” card. Then use arguments similar to http://lesswrong.com/lw/wq/you_only_live_twice/.
But do note that the vast majority of people who are interested in cryonics self-select for it, and based on prior odds, you are unlikely to be successful in your endeavor. Sorry.
I upvoted because this is a good effort to make your probabilities explicit.
One meta point: A lot of this seems a bit too nihilistic. Cryonics is small, very small. If you, Jeff Kaufman, decide (and actually go through with the process) of signing up, that act non-trivially decreases the probability that cryonics will be outlawed. If you decide to contribute even in some small way to the (non-profit) org, that act decreases the probability that the org will fail, scaled (enormously) by how actively you engage. If you move closer to the org you sign up with, that increases the probability of a good cryopres. If you don’t engage in risky behaviors, that decreases the prob of an acute event which would disallow a cryopres. If you exercise, that decreases the prob of developing AD. And etc.
You seem to be approaching cryonics as pure consumption, when you stand to gain much more (and do much more good, see http://www.overcomingbias.com/2010/07/cryonics-as-charity.html) if you consider it more of an active pursuit.
Perhaps it is easier, mentally, to ignore this factor (which others, including Robin Hanson, seem to have done), but it doesn’t seem prudent.