It does sound like a javascript issue that you are running into, bu I use Jetpack without issue on my sites. It is possible it is stemming from Jetpack but there are so many settings and options included in Jetpack that finding the exact issue would be very difficult.
Could you open your browsers "developers tools" and view the "console" tab? You may need to refresh your page afterwards, but you should be able to see any javascript errors that are happening. Please copy and paste any errors you are seeing in this thread. Thanks!