How did you discipline Vegas? It sounds like Vegas is setting the rules and providing the discipline.
I don't believe biting is his problem, it sounds like lack of leadership. A dog would never bite their pack leader, it is against their nature. If you don't step in and provide leadership, someone else will feel like they have to step in and fulfill the role, such as Vegas.
Be careful about using a crate for discipline... I wouldn't want my dog to relate her crate to a negative experience. The crate should be a place for comfort and security, like his den.
I don't know if this is your issue Libra, but many folks fall into the trap of failing to discipline their dogs because the dogs are so adorable and full of personality, which I feel applies to Bulldogs more than any other, and they are afraid to hurt or dampen the spirit or personality of the dog by providing discipline. But establishing rules, such as no jumping up on people, doesn't have to be mean... it's simply making the dog understand that you are in charge, and certain behaviors are not acceptable. Rules should come easier once your role has been established.
So how do you address a dog who is misbehaving? Get their attention in a way that is clear that you don't approve... Cesar does it by making a noise with a quick tap to the dogs shoulder or rib area with his finger tips, representing a bite, which is the way dogs provide direction. Continue this until the dog is no longer focused on the bad behavior, but is calm and focused on you and your direction. If needed, you can step up the consequence for bad behavior by putting the dog on his back and hold him there until he submits, which is also a dominating technique within the dog psychology.
I tried this on Winnie, our Shih Tzu, who would always rush the door barking her head off when someone visited. It took some work, but she now maintains a respectful distance from the door... she remains excited about a visitor which is obvious with her rapid tail wagging and shifting weight on her front paws, but she is not barking or rushing the guest.
Since it is known friends visitng that cause the excitement with Vegas, try having them practice not acknowledging your dogs until they are calm... no looking, petting or talking to them until they are calm. Vegas is probably used to them coming over and getting excited to see him and calling his name in an excited manner. This is teaching him to get excited too, and now he is conditioned to expect this excited scenario whenever his excited friends come over. Let Vegas calm down, then shower him with attention... after awhile he will learn that affection happens when he is calm, not as soon as they walk through the door.
We also started a home exercise program which required us to clear some furniture to work out in the living room. I was worried about Winnie getting hurt while we were jumping around focused on the directions from the TV. Winnie is such a lap dog that always needs to be with us, so I thought this would be tough. I stood up tall so she would know that I'm in charge, and directed her out of the living room. She needed 3 reminders, but she understood the message. She only required one reminder each of the next two days, and now, I don't even have to tell her we need the space, she knows. She waits patiently till we are done and I invite her back in. So I learned that being and charge and providing direction will get the desired results, and this even works for the most determined of breeds.
I know I keep bringing this up, but Cesar Millan is a great resource for understanding dog psychology and learning how to establish the position as pack lead. I learned so much from his DVD series, and would recommend them to anyone having issues with dog behavior. I especially enjoyed his DVD #6 "raising the perfect puppy", where he picked and raised 4 puppies of different breeds, one of which was a beautiful Bulldog named "Mr. President". Cesar admitted that "Mr. President" required the most work, but "Mr. President" was a well balanced and behaved dog. Cesar also explained that Bulldogs are disadvantaged because of they are bred to have the smooshed face which decreases their sense of smell. Dogs should experience through smell first, sight and then hearing. Dogs that start with sight first are going against their nature which can cause problems. It was interesting to see Cesar create activities to encourage using smell, such as hiding "Mr. Presidents" food and make him find it by sniffing it out.
Best of luck with this issue Libra