I think its more reasonable to assume the Trask website is based on events from the X-Men: First Class film rather than the original trilogy. It makes much more sense since they're proudly
declaring that the Sentinels have been online and battling mutants for 50 years (which makes sense based upon the events in that film). They've also been actively eradicating the "X-gene" for nearly as long, which doesn't match up with the last film at all. It's kind of hard to reconcile all of that with the original trilogy.
Which pretty much means the First Class universe is more akin to Star Trek's mirror universe than anything. Or at least it lead to that darker fate until the time travel hijinks take place to correct it.