Of course if an organization ever gets complacent about safety then things can go downhill, but in the case of SpaceX they have a fundamentally more robust vehicle design, a system with more and safer abort scenarios, and every possible reason to maintain a high degree of vigilance about safety (if for no other reason than their company's image and financial bottom line).
I do agree that design decisions like side-by-side staging of SRBs wasn't the safest choice. Safer abort scenarios is definitely a feature of Dragon.
Good design does magically appear as time goes by but is a result of a sound design and testing process. Fortunately, I am sure SpaceX is aware of this so they will most likely get a much better track record than the space shuttle.
The 1980s ushered in a new era of twin engined widebody aircraft and the phasing out of the flight engineer. These two trijets were consequently a difficult sell, although the MD-11 was competitive with the 747 briefly in the early to mid 90s.
http://www.fearofflying.com/resources/safest-airliners-and-a...
That said, today both planes are (literally) perfectly safe.
The DC-10s problems all stemmed from a bad cargo door latch design combined with insufficient redundancy in its hydraulics.
Lets not forget that the two shuttle accidents were as much about a human factors failure, as a systems failure. Make no mistake about it, If a company like SpaceX ever got complacent about safety, it is game over. They will not get a second chance. Remember McDonald-Douglas, and how many DC-10 accidents, that basically forced the company out of the airliner business.
The Launch Escape System on a Soyuz capsule has been used once, in 1983 http://en.wikipedia.org/wiki/Soyuz_T-10-1