Considering that the capsule still has the inertia from the main engine at the time where the separation/landing boosters fire it doesn't need that much to outrun the existing rocket since it pretty much just needs to get out of it's way.
In-Flight Abort is nice, but this is the 1st and only human piloted craft that has it, even if it will have quite a bit of risk attached to it it's still better than the competition.
Apollo had it - at least for during the first stage.
https://en.wikipedia.org/wiki/Apollo_%28spacecraft%29#Launch...
Also, during an abort scenario, the aero drag is pushing Dragon back onto the launch vehicle, so you actually need more thrust to overcome that, too. (Although that obviously depends very strongly on the dynamic pressure at which you abort.)
If there is anyone that can pull this off at this fast pace, it's these guys.
BTW, if I ever charter a flight to the ISS, I'll have the Pan Am logo painted on the spacecraft.
As for finding a space tourism company, I'd be interested if anyone had approached SpaceX with that as a business plan. I would certainly consider investing in something like that given the right team and opportunity.
With regards to the second comment, I can find out if you're interested.
[1] https://www.youtube.com/watch?v=1_FXVjf46T8