Alex Jones is a hard-working very decent guy, who irresistably works on exposing the new world order/bilderberger. He does have a solution: get out and do something, talk to friends, neighbours, call your representatives etc. However, I find that he is too much of an optimist, the other day Max Keiser was on the show and they were discussing Greece; Jones appeared to have some hope in the protestors, whereas Max said that often turbulence on the market is created by hedge funds, banks, etc.
Ideally you would get Max Keiser to explain bitcoins to Alex, as Max is recurring a guest on his show and Alex would listen/respect his opinion. Max has a background in computer programming, finance, markets, is a silver/gold activist, and he has a good understanding of the technology behind bitcoins, he even frequently blogs about it. I'm sure Max could even find a way to explain bitcoins that even Alex could understand.
This is actually a good idea, Max (I don't know his position on bicoins, but if as Blazing says, he is favourable towards bitcoins) would keep the show on-topic without derailing and it would reach a wide audience. Jones doesn't rant on about reptelians overtaking the world, mind; many of his viewers would find bitcoins interesting, or so I reckon. If anyone has a channel to Max it would be a very good idea indeed.
As to accepting Bitcoins, not much of a chance there, I believe. Bitcoin's current legal status would most likely dissuade Jones from accepting bitcoins - he would be an easy target if bitcoins become outright illegal. The authorities would like nothing more than to get him off air.