I'm short also, 5'3" to be exact. Big guys man there tough. You gotta' be smart about it. First and foremost, if you end up in a squared off type of a situation, you need mobility being shorter. So you need to be moving like a Muhammad Ali, or Bruce Lee, always on your toes. Don't stop moving. You can't give the guy the chance to grab you, or hit you. Being smaller you should be at least a little bit faster, not necassarily but hopefully. That's when you can be patient and look for those targets, and opportunities.
However, since the scenario is constantly being put in the bar. More than likely something has been said, or done, and you know before the fight happens that it's going too. You need to even the odds. If he hits you first and he's big like a Brock Lesner, he might knock you out on the first strike, or even kill ya, if he hits you right. So you can't let that happen. So you strike first. I know it's being the aggressor and all but you strike first and you don't stop till you can get away. You can do other things, also just before that strike, cause you've got to get it. If you don't, your in the above paragraphs situation. I wear a baseball cap everywhere I go, or a bandana or something on my head. Those can be taken off, and thrown in somebody's face real quick( I know). That one jerk to the right or left, to avoid what's coming at his face, gives you that chance to get that first strike in, especially if you have to clear some distance. At that moment, and I mean the minute that hat or bandana, or any item leaves your hands, your strike is connecting either at the same time or just a split second after. Now that can be the beer bottle in your hand you were just drinking smashing into the guys head, throat, eyeball socket, whatever. It could also be a kick to the groin, the knees, or even an ankle stomp. Whatever it takes to get a reaction out of the guy, that puts you in the advantage. From there you just keep going from one bad spot to the next until you can get the hell of there. That's assuming that you didn't run, or weren't able too. Once your some place safe if you feel it necassary you can call the cops and tell them what happened, and they can go help the guy dig his eyeball out of a beer bottle, but you got home safe.
That's my take on it. Be as ruthless, and violently efficient as you know how. He's big, he's drunk, he's mean. Obviously or he wouldn't be picking a fight with a guy that's half his size, right? So you end it, and end it quick. If you feel confident enough in your abilities that you can subdue the guy, great. Personally I don't think it's worth a broken jaw to find out if you are. That's my opinion.:asian: