i.e. He doesn't want to sell you on WPEngine, he wants to save your bacon and use the bacon-saving to sell other people on WPEngine ;)
Jason Cohen (their CEO) says "We'd handle the migration immediately and give him a year of free hosting to get a case study out of this."
Boring technical details: Varnish caching, automatic load balancing, redundant servers (beefy physical hardware to avoid poor disk performance on virtualized systems), "Death to KeepAlive", etc.
(Ooh, it is live now: http://wpengine.com/our-infrastructure/ )
I would add an additional bullet to the home page adapting a key statement from that page where they said "sit back and be happy you're not having to do all this yourself."
Why our engine never stops
-----------------------------
(Hey, why are we so fast, secure and scalable?)
Sit back and be happy that you're not having to do all this yourself
Linked to the "our-infrastructure page".
These guys? Can't say it sounds very promising.