In many ways, Edge is more or less a Chrome doppelganger, but with a couple little extras that can plant the seed of consideration to switch. It's worth a shot, if just for the clearer and more robust privacy settings, and reduced impact on your computer's RAM.
And if you're setting up a new Windows 10 computer, the new Edge has what it takes to be your default web browser, rather than just a tool to download Chrome the moment you boot up a new computer.
Further down the line, I wouldn't be surprised if the new Edge gets more little features that build up and sets it apart from Chrome even more, too.
At the same time, Google's ecosystem goes beyond the Chrome web browser. Chrome is linked in some way or the other to my Google account in general, which includes Gmail, Google Maps, Google Calendar, and so on, and all that ties in with the Google stuff on my smartphone. Microsoft's biggest obstacle will be to combat Google's incredible and far-reaching ecosystem.
To that end, Edge is available on Android and iOS, so your computer and smartphone lives don't have to be separate. I'll be checking out Edge on mobile soon to see how Microsoft's ecosystem competes with Google across platforms.
I should note that everyone has a different way of using their web browser of choice, with innumerable little tricks, shortcuts, and customizations that it's almost impossible for my experience to translate perfectly to yours. If you're making too many compromises or uncomfortable changes when checking out Edge, then maybe it's not for you!