Most likely, they will tell you: "shut it all down or we'll sue you into bankruptcy".
I recommend taking a look at http://opengameart.org for free (and legally free) placeholder art you can use instead, and changing any names ASAP to remove "Starcraft" and anything directly based on the unit names, etc. (Referencing Starcraft in the README or other such things should be fine, though.)
For example, "SpaceCombat" with "Troopers" and "Knights" and "Hordelings" and different art and music for everything would be fine, legally, even if the actual game mechanics were exactly the same (as long as it's your own code implementation of them).
Heck, just take a look at their list of offices: http://www.activisionblizzard.com/locations
You do know that, right?