Hi, vmere!  Welcome 

It's hard to answer your question because people's reactions depend so much on their own experiences and attitudes toward giftedness.  It is not unusual to get negative responses, though.  I think many people here have experienced that.  I think people's reactions have more to do with them than whether or not your child is actually gifted.
I found the preschool years with my DD to be challenging, too, and I thought that 
Raising Your Spirited Child was a very useful book.  It helped me understand what my DD's behavior might mean and gave me some helpful strategies.