High frequency trader here:
This is only looking at the volume on public exchanges. There are a lot of regulations around public exchanges which prevent them from operating efficiently. For instance, unless the stock has a very small price, you cannot offer sub-penny prices on this exchange.
Most retail trades actually never see the exchange, they are sold in bulk by brokers to places like Knight or Getco who internalize the order flow. They cross customer orders and take on some orders. Since this does not happen on a public exchange, they can give sub-penny price improvements.
The same happen with dark pools where many hedge funds will send their trade to obtain better executions.
When the market makers who handle these order flow start carrying to much risk on their book, or if they don't want to take the opposite side of your trade, they send it to the stock exchange.
This means that the stock exchange is mostly a place where high-frequency traders meet to offset their exposures to one another. In this respect, it is not surprising, nor problematic that 70% of the volume come from HFT.