Rather than removing it entirely, why not remove the leafs, leaving the fold-out supports in place and set up a tray on top, clipped to the centerline "legs" by an edge strip.
That way the center support structure is still there to hang on to in a sea-way and you only put the table top on (stowed under the settee cushions) when you need it at
anchor. The table top ends up narrower than your current set-up, but at least you can move around it whilst seated, and it's surprising how narrow the table-top can be whilst still being useful.
Don't have a photo with me right now.. hope this helps.
