That is the factory set up, I've yet to set it up to how I like it. :-) But I see what you mean. It's not causing me any problems, the action is great, but once I properly set it up I'm sure it should be fine.
This small headroom for strings is pretty typical of vintage Fenders (see below) but your Ibanez has so much room that you can have a luthier adjust neck so there's more space for high E if you want it. I put an aftermarket tune-o-matic vintage early-60's reissue bridge on my Gibson scaled guitar and the bridge pieces of the six saddles were a tad bit wide so I got the same issue but on both sides. I think it could have been my guitar which was standard/imperial and the aftermarket reissue bridge which was metric or vice versa.
On a 25.5" inch scale guitar, you can get pretty close to either edge and it still won't affect the playability of the guitar as Leo Fender did just fine through the 50s and 60s with narrow necks. But on a shorter, flatter Gibson scale, 24.75" inch, and the way the guitar plays, it's a little annoying to have both strings come so close to the edges of both sides. The lesser tension of Gibson scale makes the guitar feel a little weird and the slightly wider spacing of each string at the bridge made me miss strings at first until I got used to it. What's odd is that the post holes of the reissue tune-o-matic bridge fit right in with no issue, but the manufacturer did their own thing with how the saddles sat in the bridge which you can't do anything about.
Anyway, if you keep the Jem the way it is, or center the neck better, you will still get used to just how that particular guitar plays and won't notice any issues once your muscle memory marries the guitar's geometry. If you went backstage and played Steve's own Jems, you may not like them since every guitar player has a very personal way they set up their guitars.
What I do on Fenders with a round 7.25" inch radius is to set the high and low E strings a little higher than the rest instead of following the curve of the radius perfectly. I like how the guitar plays and sounds better this way but some guitarists hate the hard feel of the guitar. But I like a little resistance, especially on both E strings, and it helps make a percussive sound in the way I play so to each their own.
Anyway, your guitar looks great and enjoy!