Thanks for the comments and the safety concerns.
A patio table like that, by design, is somewhat wobbly. I wish it had legs mounted near the outer perimeter of the table which can eliminate a lot of safety issues by making it more stable and pretty much rock solid, and no chance of a tip over, should someone lean their weight on the edge of the table. Having said that, I intend to build a simple four-legged, square table frame where this tabletop can be placed on. I will get rid of the stock decorative legs.
With 4 people gathered at the table passing dishes around to one another can be a bit of a hassle, but this is also true at most any Korean BBQ restaurants if you have a bunch of people sitting around the grill. Having only 2 people at the table would be most ideal.