Go into your Jetico settings and go under Ask User. Then scan through and delete anything referring to Dreamweaver or any other Macromedia program you may have. Then restart the computer just for good measure. Then run Dreamweaver. Set anything that pops up during the Dreamweaver launch to App Trusted. Then see if it will connect. If it does, go back into your Ask User section in Jetico and check just to make sure that nothing nasty and unfamiliar was given permission. If everything looks ok, then leave it alone and go on your merry way.
If that doesn't work, then I'm just as puzzled as you are.
Just a side note... I'm running Dreamweaver just fine.