HFT is not accessible to an average retail investor or even one who is far above average. It requires extensive technological expertise, expensive equipment, and a professional infrastructure. Yes, good automated trading systems can consistently beat any index. With that said, there are bad systems that actually look good for a long period of time until an unusual situation occurs and wipes out all past profits or even brings down an entire firm. Risk management is a key component.
Not that I am aware of. HFT firms generally don't need outside capital, so they have no motivation to deal with the headaches of running a fund. Funds exist for capital-intensive strategies where receiving fees provides a higher risk-adjusted return than the actual strategy.
I figured HFT firms exist in their own bubble away from most people. So from the perspective of the average joe, they only indirectly exist as a tiny market force that does price discovery.
As for the funds you mentioned, are there any that have a minimum investment of less than $1,000?
The impact of HFT firms is significant, although not obvious to the average person.
Investing directly in a hedge fund requires a much higher initial investment as well as a high net worth. I would not recommend it. It is very difficult to select a portfolio of hedge funds that can outperform a simple low-cost index fund tracking the S&P 500.