Indeed it is possible that such a simple and meaningless distinction can actually be a competitive threat for Bitcoin. It's a real issue. Our services are ready for the mBTC switch at any time, however we are looking at the big services to take the lead. The risk of added confusion is big if major services don't support mBTC and we make a complete switch.
What I'm thinking is that there could be a grace period where both units are used together. We might do this. It's not as clean, but it will lead to less confusion.
Yes, for example on your site where it is written the 1 BTC = 1054 USD below it you can write 1mBTC = $1.054 and link to article on the homepage that people can buy also mBTC which is 1:1000 from a bTC and the big exchanges can also put next to the BTC price also mBTC and explanation about what is mBTC this will be a good start.