If it's unarmed combat, Chewie wins EASILY. While Klingons are fierce warriors and are generally held in Star Trek to be stronger than humans, it isn't by that much. Wookies in the Star Wars universe are physically far more powerful with Han's line, "but droids aren't known for ripping people's arms out of their sockets when they lose. Wookies are know to do that." Now, while an exceptionally strong human MIGHT be able to pull a finger or some other small limb off... a human lacks the the size to gain the leverage and the raw power to pull an arm out of it's socket. And since Klingons aren't much stronger than humans and the difference in height isn't as great it's also safe to assume that a Klingon wouldn't be able to literally rip a man's arm out of its socket... at least not easily. However, the implication of Han's line in Episode IV gives the implication that Wookies have both the power and leverage necessary to do so with ease. As such, Chewie has a huge strength advantage, and given the lifestyle that Chewie has lead as Han Solo's copilot... he's likely no stranger to unarmed combat...
If it's armed combat, Worf wins easily. Chewbacca's standard weapon, a Wookie bocaster must fires energized bolts and rounds much the way projectile weapons on Earth do. As such, Chewie must still hit a vital organ in order to kill Worf with it. As an officer in the Federation Starfleet, he would be equipped with a standard Type I or Type II Phaser, and if sent into a certain battle, a Type III Phaser Rifle. Unlike the bocaster, a Starfleet phaser is a high energy beam weapon with multiple power settings with a stun setting being it's lowest power setting. At it's highest power setting, a phaser is far more powerful than most standard projectile weapons in the Star Wars universe. As Picard says to Lily in "Star Trek: First Contact," "Maximum setting. If you'd fired this, you would have vaporized me." As such, armed with a Phaser, all Worf would need to do is take cover and aim at Chewie with his weapon at the maximum power setting as even if he only nicks Chewie in a spot like the arm... the Phaser energy would vaporize him. A Wookie bocaster really isn't a comparison. The only Star Wars projectile weapon that would be comparable with a Phaser would be a disruptor, which Chewie does not carry.
Both are awesome. I think fight between the two can go down with Worf winning or with Chewy winning. Id rather not pick sides giving I'm a fan of both franchises. I think they would make a kick ass team though. But I would urge Chewy to be careful not to cheat in a game of cards with Worf. XD
Chewbacca seems more fluent with technology. But Worf seems more calm and collected in the field of battle. I'd say their battle would all come down to the environment they fight in. If they're surrounded by technology, I'd side with Chewbacca in the long run. But if the setting for the battlefield is out in nature, I think Worf could possibly use the battlefield better.
He was an expert in the Klingon martial art of mok'bara, which he started teaching to other crewmen on the Enterprise, in addition to being proficient in the Klingon bat'leth and mek'leth, and won a bat'leth tournament on Forcas III which saw competitors from throughout the Klingon Empire. He's also slain two warriors in honorable combat, Duras and Gowron, who were both at their times considered to be the most prominent warriors in the Empire. These are in addition to his Starfleet training which has made him proficient in the hand phaser and phaser rifle, as well as his tactical expertise in starship combat.
Chewbacca is no slouch himself, however, with the great strength of the Wookiee species - demonstrated by his ripping a droid's arms out of its sockets - and has experience wielding the bowcaster and the Wookiee ryyk blade. He possesses exceptional skills in piloting and repair and is a master of dejarik, an ancient and challenging hologame requiring skill and strategy.
I get the stuff with Worf's background, but what I've read is that he wasn't portrayed as badass until DS9, with I'm getting that some signs of that is what had him kick some Borg ass in First Contact.
Worf did okay in "The Next Generation" series... but so many of its episodes were more diplomat/science based that there was really very little for him to be "badass" in. When he joined the DS9 cast, they were getting ready for the Dominion War so they had lots of battle/political stories that played more to Worf's character.
From what I remember from watching TNG... I'd say that many of the main characters were sane... TNG tried in many ways to continue the sorts of adventures that TOS had without simply copy and pasting TOS scripts with new characters. That might be where they had some of the issues that some reviewers might have had... TNG was trying to come up with something like what happened in TOS and yet be completely different while developing the characters.
I'm afraid I've never seen SFdebris' reviews before, so I can't say anything beyond what I remember from TNG.
What I heard on SFdebris reviews, and most other people, was that TNG's first two seasons were terrible, apart from a few exceptions. The characters were typically jerks, Piccard was arrogant and condescending, most of the morals were BS with stuff like children shouldn't grief over lost loved ones, and a lot of the time the cast acted really dumb, many times to make Weasly look good despite him being a self-righteous self-centered jerk. Worf at that time didn't have much of a role, but SFdebris noted that a lot times he seemed to be more rational than the rest of the crew.