Happy New Year folks; I'm a bit late joining in. I am surprised to see that the middle spring is missing with stock string sizes and agree that adding the extra spring should make all the difference. I also strongly suspect that the strings on the guitar were lighter than the ones you replaced them with; this is the only explanation for the extreme forward motion of the bridge.
I can guarantee you that the extreme forward position will have a significant impact on action; when you add a spring and tweak the claw screws to flatten the bridge the action will drop a lot.
As Maddi and DrKev have stated, you must be patient; this can't be stressed enough; the floating tremolo makes all the difference. It took over a week for my Majesty to get happy when I went with lighter strings (Regular Slinky to Extra) and removed the middle spring; I just left the rear cover off for a while as I had to make tweaks to the truss rod, the saddle screws and the claw screws multiple times to get the guitar to settle down. I found that just dropping a single string's saddle for better action could result in enough of a drop in overall tension that the other strings would go out of tune and the bridge would pull back just a little. This requires multiple tweaks at a time and patience.
A constant room temperature also helps; I leave my Majesty to condition to room temperature when I move it from cooler to warmer rooms in the house. When it's cold it buzzes!
Floating bridges are super sensitive; on my guitar I can't simply drop the bottom E to D without having to retune the other strings. Also, and you may have found this already, simply tuning from the bottom to the top as with a "normal" guitar doesn't always work; by the time you've got a happy top E the extra tension has dropped the lower strings. When I tune-up I bounce around the 6 strings almost at random, deliberately tuning the first strings I do high, knowing that they will drop. Owners of 12 string guitars are very familiar with this procedure.
One more thing, I would not leave the bridge like it is. I do not know this for a fact, but I have to wonder if the stresses around the contact points with the posts is affected when the bridge is pulled this far forward. There was an earlier thread, a month or two ago, showing a bridge that was deformed at the post contact point.
Good luck!