Folks do all sorts of different things. The biggest issue you have is the heat. On one side you have baseboard in the living area, and a radiator on the dinning side. You will still need this heat somewhere to heat the spaces. And when you make larger openings, it gets harder to heat rooms evenly.
Just a thought, if you want more light in the room, Put a window into the wall area. Or a pass through with a granite top and bar that extends out into the door area. And keep the opening as it is.