You gotta use the right tool for the job. If I’m defending my family, my first priority is to win at all costs NO MATTER WHAT. That’s why I’m very partial to Wing Chun - above all other styles I know of - at this stage of my life. However, priorities change. The ends do not always justify the means.
I used to be a cop a long time ago. At the time I was actively studying Kenpo, which is primarily a striking style. Vaguely like Wing Chun only a lot more cludgy (IMO). The problem a LE officer faces is that their job is to use only that amount of force necessary to take their adversary into custody, starting with verbal commands and moving all the way up to the use of deadly force.
Even with unarmed arrest control techniques there are authorized and unauthorized techniques. Depending on where you’re working and what the official policies are, certain types of contact (like the LAPDs arm bar choke) and restraints are not legal for a LE officer to use. Same thing with batons, it’s illegal to use a baton on someone’s head (in California, anyway), which is one of the main violations charged against the LAPD cops who arrested Rodney King. The conventional wisdom being that if you’re justified in using deadly force you’re supposed to be using your firearm.
In my experience, about 90% of all physical scuffles and fights a cop is going to get into will involve a suspect who is trying to get away or avoid being placed into restraints rather than trying to actually fight with the cops. The most common struggles involve trying to get a combative subject into restraints. You’d be amazed how hard it is to get a drunk to bring their hands from the fetal position to behind their back without some serious leverage and pain. As a result, using a striking art to punch out or actually injure a suspect is usually going to exceed what the officer can demonstrate as reasonable force. And if punching a suspect is bad, really hurting them the way we learn in Wing Chun is going to generally be a non-starter for all but the most desperate of situations. As in, the suspect’s all over you and is grabbing for your weapon. You know that once he gets it everyone in sight is going to be at serious risk - that’s when it’s going to be more permissible to go for a technique that upon completion will likely result in serious injury or worse to your adversary.
As a cop, I think you’ll have a lot more use for a grappling style like BJJ or even judo than you will for cutting into some guys center and trapping him to deliver a strategic offense, or breaking his pelvis with a kick or whatever else we would normally go for by default. Sure, Wing Chun’s center line theories, if properly applied, are far more direct and efficient than the ‘equivalent’ techniques as taught by most of the other styles. Ironically, it works even better when your adversary can cover their own center in the first place. But it does take a while for a lot of these applications to become instinctual. In the meantime, you need to come up to speed in the shortest time possible. If it were me, I’d start with BJJ or maybe judo and get comfortable with controlling a person who’s trying to get away. Once you have that as a foundation, then add the Wing Chun back in to cover the standing fight - of which you’ll seldom have use for if you handle your verbal command presence well enough.
I say all this in the context of my (dated) experience as a street cop. My understanding is that prison guards operate under different rules of engagement because of their environment. A couple of my Sifu’s students are correctional officers and supposedly any physical confrontation is at the inmate’s own risk, or so these guys say. According to them, being able to walk shoulder to shoulder with a convict and know that if he makes the wrong motion that they can not only ‘feel’ the direction of the movement but also take it away from them is, as the computer geeks say, the “killer application”. I don’t know if it’s true or not, I’m just passing it along for you to consider.
I’m sure a couple guys on this board will come back and tell you that Wing Chun or Shaolin Gungfu is the only thing you need, and maybe for their situation it is. We even have some Wing Chun guys here who think WC is about punching their opponent rather than hurting them or worse, so I guess you could say WC means different things to different WC students. Only you can decide what you really need right now. I’d check them all out and see which one fits your needs the best. I wish you good fortune.