Besides knowing whether or not this is a weight bearing wall, how much room you have in the living area matters as to whether a "bar' would be practical.

Not a pro but ... suggest you draw, to scale, the two rooms, showing any windows and doors and other fixed features, and post that for input from the pros.

You likely could create a window on one or both sides with plantation shutters in the living room side of the wall as a pass thru and to visually open up the space.

With the right framing, you likely could nearly double the width of the doorway (and, perhaps, add saloon doors) but not remove all the wall back to the edge of the cabinets and that would likely be my preference.

There are a lot of different kinds of saloon doors available and you might even find some gently used shutters from which to make them at a Habitat for Humanity Restore Store.

https://www.thespruce.com/easy-installation-cafe-doors-1821465

Know if it is a weight bearing wall. If it isn't and you decide to remove some of the wall, know what, if any, door you're going to add and measure carefully before cutting.

Opening it up will be beneficial. A couple of things I note that will need to be addressed, (in addition to those noted above), is moving at least some electrical and repairing the floor when you take out wall.

Thank you both! A structural engineer confirmed the wall is not weight-bearing. And we have a flooring person to replace the tile with wood.

Widening the doorway makes a huge difference. I can't tell you yay or nay about a bar without dimensions to make sure there's clearance for it and seated guests.

Thank you so much for editing the photo! Wow!