Greetings.
To the original question:
I agree with Flying Crane. Just hit them. Drill right through them and overwhelm and control.
Yet it is a loaded question, because if I can catch the guy by surprise, it wouldn't matter the style.
And much, MUCH more importantly...
If one guy trains Wing Chun and the other Taijiquan to a high level...
they would talk and be friendly.
Thugs rarely have the profile needed to train internal arts. Or any high level CMA. They mostly if at all train, like combat sports.
So the context of the confrontation would be important. Because if it is a match, there would be rules.
If it is a life and death confrontation, it will probably be started by just one of them.
If both agree that the other should be wiped from the face of the Earth, and both agree to this, then I would bring firearms and weapons.
If they're both drunk out of their minds and decide to settle which is best in the bar, that would just be entertaining!
Thus I view these kinds of questions without appropriate context quite intractable.
If you confront someone, use what you know. The best Taiji person I know here trained in Wing Chun when he was young, and his Chi Sao was quite good! I had to reach into my bag o tricks to trap him, and he got me a few times too! I had a lot of fun.
And Bagua people are very elusive if you don't corner them or use some Chi Gerk to monitor and trap their footwork. They can use their red cape and bulldodge you for a while!
It is hard to hit someone that doens't want to fight and has good elusive footwork. It is so effective that it is illegal to use in combat sports.
Hope that helps.
Juan M. Mercado
Wing Chun Kuen Fat
Accidentally punched a Taiji guy trying push hands on me... It came slow, and I don't know why he didn't cover his face... I did it push hands slow.
And I intimidated a Bagua practitioner with Fa Jing expression... didn't want to play... hard to find goo internal stylists to play with here...