I'm not worried yet. This seems very much like a negotiating tactic. I'd imagine that Charlie's dilution of value argument will be a common theme with contract renewals going forward. Some ask why make this argument about AMC and not all the other channels that do the same; the simple answer is that AMC networks are up for renewal and the other channels are not at this time.
I generally side with Dish on price disputes, but the recent court ruling against them casts a shadow of a doubt over this dispute. Then again, the contract expires on a set date that was independent of the ruling; so it's possible that the timing is just an unfortunate coincidence.
I think ideally, many would like to see Dish get this deal done and in the process secure the HD rights to the additional channels. I currently only watch AMC because I can't stand SD movies. There are simply too many other HD content options to suffer through SD channels. The only thing I really watch on AMC is the Walking Dead, and I tend to only watch that as a marathon once the entire half season is saved, so a dispute wouldn't really negatively impact me for quite a while.
However, for the sake of those that view these channels more frequently, I hope that an agreement is reached and the temporary or permanent removal of channels is avoided.
At this point, it's much too early to tell. There are 53 days between now and the expiration of the existing deal. Plenty of time for a deal to be worked out. Maybe my current good mood is clouding my judgment with too much optimism on this, but I am hopeful that this will all be resolved in a relatively timely fashion such that no one misses new broadcasts of their favorite AMC original programming.