Plus, I'd imagine "the ENIAC guys" would quickly realize all the things that were computationally infeasible in their time had more or less been done along the way to modern computers.
But show it to a guy working with electromechanical or vacuum tube computers and I'm sure it would be a very otherworldly experience for them.
I'm actually not sure what would blow their mind more - a very big and unimaginably fast computer, or a by today's standards very slow computer that fits on few millimeters. Things like payment cards or SIMs are just incredible too - enough compute power to land on the Moon hidden in a piece of plastic.
Perhaps more importantly, I think they would be blown away by how directly and fundamentally computing would change the world. Doug Englebart and his team are the ones who really developed the idea of using computers for something other than performing calculations for scientists. They started that research in the early 60s, and didn't drop the Mother Of All Demos until 1968. So if I were one of the "ENIAC guys", and someone asked me how my work would affect the world, I'd probably just shrug and suggest that the computers I was building would help perform computations that would let other scientists make discoveries more quickly.
It's easy to imagine it - even with absolutely no basis for it whatsoever. Go back millennia to the first men making ships able to embark deep into the oceans, and these people would also have already been envisioning the Titanic. The moment the Wright Bros proved flight viable, many were seeing the Hindenberg. It's just human nature.
I just got a WiFi enabled ESP8266 with a thumb sized OLED display for like $10.
I can't really keep track of how many computers are in my home :)
I have a small community (n=1 or 4?) where I write this up:
Otha Fish by Pharcyde has tons of references ranging from 50s-90s. Scroll down to the main comment to see them explained.
person from the past> wow! what do you do with it?
me> look at pictures of cats and argue with people i don't even know
/i think that's from an xkcd