Are you suggesting a alternate or and alternative to the existing blockchain?
No, not at all. The block chain is good for what it does: securing the large transactions, preventing inflation, etc. It's still not very clear how the problems with it size limits will be resolved, but I don't see a reason for major changes in Bitcoin itself.
The small, quick transactions have totally different requirements. They can be solved by various forms of trust-nets or banking, quickly and cheaply. The classic problems with compatibility between different firms, banking licenses and having to trust them with large amounts do not apply if the backing system is Bitcoin.
I'm actually working on something of the sort. The idea is to build a program that does off-the-chain micro-transactions in which a cheating party would always lose funds. One thing we're investigating is building trust based on escrow features of Bitcoin scripting, so that a bank cannot
run with the money, because it would allow customers to burn an equivalent amount of the bank's funds.
Even without fancy tricks, a lot of things can be done using Bitcoin "just" as a backing currency. Simply building a normal payment processor with Bitcoin instead of USD Wire backing would already solve a lot of problems. Look at Bit-Pay and similar projects, there is a lot of potential there!