1. Those deep-mount panel jacks won't mount with a jack plate
2. They're not known for their long life, which can be a problem because...
3. They're not terribly common. You can get 1/4" Switchcraft jacks just about anywhere. Panel jacks? Not so much.
All that said, there IS a certain aesthetic to them that appeals to some, or works better with some body designs - particularly those with radically rounded edges.
I've modified a number of bodies to eliminate them, and really just about the only way to do it is to get some 1/2" dowel and glue it into the existing mounting hole. Needs to be flush with the outside surface, and doesn't need to look good - you're just going to drill it out. Without anything in the existing hole, there's not really any good way for the bit for the new hole to center itself up. Then, you need a 7/8" Forstner bit to drill a new hole. You'll really want to mount the body into some sort of vise or other sturdy mounting jig to do your drilling.
Then you can use a standard Switchcraft phone-style 1/4" jack mounted to a plate and you'll be happy.