Here's my input...
I personally think Jaws will be a tough opponent for Big Show as he has higher stamina by default, can inflict nasty piercing damage with his metal teeth, and can take large amounts of pain as he's survived getting kicked downhill from a train, a foundation of construction collapsing on top of him, a high-speed cable car crash, and freefalling through a circus tent, where suffered almost no visible damage from those occurrences (In the latter I wouldn't be surprised if he just got up, dusted himself off and walked away as that's sort of a running gag with him).
In terms of skill, Jaws is capable of grossly overpowering Bond, who can go toe-to-toe with expert assassins, and grapple people who can wrestle alligators, Big Show on the other hand has been wrestling for more than 23 years and he's fought and even won matches against the likes of Kurt Angle (Who's an Olympic gold medalist), Brock Lesnar (Who's a skilled MMA fighter, and has defeated dudes who had famous undefeated streaks like the Undertaker and Hulk Hogan, the latter who defeated André the Giant who-in turn was undefeated for 15 years), and Bobby Lashley (Who was also a prominent MMA fighter).
In terms of Lifting Strength, as I mentioned before, Jaws can repeatedly outmuscle Bond who can overpower alligator wrestlers, not to mention Jaws is also capable of lifting the back of a van as well as pushing against it with his legs while it was reversing. Big Show was considered a physical rival to Mark Henry who could lift a 2.5-ton car and drag two tractors with high effort, Show himself also has a feat of pushing over a jeep though it did take him a few tries, Big Show can also consistently contend with Braun Strowman who famously flipped over a type 1 ambulance with Roman Reigns inside it, which would be over 4,535 kg, even if we lowball Showbowski to just 2,500 kg, he would still be 2.5x stronger than Jaws, not a huge difference but just enough to keep Jaws at bay if necessary.
How I think the fight would go is that Jaws will be able to withstand a majority of Big Show's moves which the latter will find out aren't causing much effect, It also probably won't take him long to notice Jaw's metal teeth, so to counter this problem, Big Show may use his strength put Jaws in a working hold to wear down his stamina or resort to the W.M.D. which is able to repeatedly knock out the likes of John Cena, Daniel Bryan, Triple H, and Brock Lesnar, all of whom can fight for as long as an hour and take large amounts of pain.
So in conclusion, I think Big Show wins this with mid-difficulty