A flatbar road bike will have a more agressive geometry and tend to be "zippier" than your Globe. It will also have skinnnier tires and likely quicker handling. It will handle like a road bike!
You can get a road bike with drop bars that has a more upright ride that will be kinder to your neck. A flatbar bike is also a good option.
Really....you already know what to do....go to the LBS and test ride them and see which one works best for you!