The payment processors will have incentive to pay fees and maybe also to hold very rapidly exercisable "latest top of the line ASIC mining rig" options.
The latter in order to be ready to rapidly jump to the support of the chain in case of attack or just to enter the mining biz. (Merely paying higher fees might not suffice if a monopolist is secretly setting up top of the line ASIC rigs in co-hosting sites all over the world as you'd be paying the monopolist more and more the closer they got to taking control of the network.)
If you can make over 300 dollars a block just processing payments, a current top of the line ASIC rig would only take what, half a day or less to pay for?
-MarkM-
But when a small player can make 300 dollars a block for processing payments an ASIC will get you virtually no chance of solving a block anyway.
I don't think guessing numbers is really helpful since there there are so many unknown variables. There needs to be a good theoretical game theory type reason why it will work. And I'm pretty sure I know it.
Miners are all different sizes, this gives some of them pricing power in terms of selling "get my txs into a block soon". If all miners are very small and all use the "accept all with fee rule" many may indeed drop out lowering overall power and difficulty. This will make it easier and more likely for someone to gain a pricing power ability.
The existence of someone with pricing power ability raises the profitability of all miners causing more small players to enter the mining biz and reducing the possibility/ease with which one party can get >50% (which may not be disastrous anyway, but still makes me uncomfortable).
For example, suppose DeepBit changed policy to only include tx that had fee >= .01BTC. Some people will not care because they can with high likelihood get in a block within 10 blocks anyway. But the few people who need near certainty of getting in within an hour now attach a .01 fee.
All miners profit from this in proportion to their hashing power except DeepBit. DeepBit profits (or maybe not if they pick the wrong price) by less depending on how many of the .0005 fees they no longer get.
Interestingly this means that an individual mining at DeepBit will want to leave for solo or a smaller pool when DeepBit makes this change.
I don't claim to completely understand the equilibrium. Some very interesting things can and will happen. Suppose DeepBit wasn't a pool but one entity with a lot of hashing power. Would they "split off" some of their power? This would be the same as using a probabilistic method of determining which tx to include in order to give users incentive to add more fee for better chance, but not completely give up the small fees. I think the right strategy depends heavily on the "willingness to pay distribution". If it is a smooth curve a many tiered solution is probably most profitable. If it's pretty binary then the profit maximizing solution is probably simpler.