Whose leadership style do you emulate more: LT Lynn "Buck" Compton or LT Richard Winters?

Neither. CPT Ronald Spiers. Get the job done. Get it done efficiently. Do what a soldier needs to do. Everything else is excess.

I aspire to be more like Dick Winters. He was a great leader. He was very tactical and analytical of the situation he found himself in. He wasn't afraid to lead and would often lead from the front. Even when faced with difficult situations he always took care of his men. After all of that he volunteered for more. Buck was also a great leader not on par with Winters.

Although Spears was pretty bad ass.

Neither. Leadership is situational--that's the thing we don't teach well. Effective leaders adapt to the situation. For example, they may need to rely more on junior or senior advisers, they may need to listen more and talk less, they may also need to be more directive--depending on the situation and the mission. There is no one size fits all leadership style.  Better to glean the best of what you like and remember the worst lest you repeat it.  One article I wrote for the Army:  "The Greatest Leader I NEVER Knew"  might be worth reading.

Ok, so I had to look up who the two were? Yes, I did see Band of Brothers, but if you try to emulate the leadership style of others you are doing favors to no one.
Your leadership style has to be your own and no one else's. Over my 25 years I've had great leadership, and I've had totally toxic leaders. Being threatened with a courts martial every time I did something my 2LT PL didn't like is very bad leadership. I watched and learned. How was the Frankenstein monster created? With parts of others, but in the end you would have to say that all those different parts were actually Frankenstein?
At one point in my career I was offered the chance to go to the SGT Morales board, I declined the offer because of all the time it would have taken me away from my team. In hindsight I kick myself a lot over that decision, but I was sent in front of many, and won, NCO of the month, NCO of the Quarter, and lost by 1/2 point in the separate battalions board. What did I learn from all those boards? That appearance, confidence, and knowing what you are talking about is key.
I brought all these qualities with me to every position I was posted, whether team level, squad, section, platoon sergeant, and platoon leader positions.
Every leader has their own leadership style and should be proud of that point, if you try to use someone else's style you are only failing your subordinates. Because leadership has to be flexible or something is going to break. Like CPT Sobel in the mini series, he was the type that was 'My way is the only way' is the only way and he would not bend.
There are good leaders in garrison, and there are good leaders in the field. It's a rare breed who are both, IMHO.
There will be those who disagree with the type of leadership I used, but for me it worked, not 100% of the time but you can't please everyone.
As for the original question, Winters.

For the most part I think I am like Winters; calm, reserved, analyticle and respectful. On occasion there is a little bit of Spiers that comes out when a job just has to get done. Might be an awkward mental ballance but it has worked well enough for me so far.

Since Sergeant Major Basil Plumley is not one of the choices, I will choose Major Dick Winters. Mostly because I remember is cool, analytical style. Also, I don't remember LT Cpton well enough for him to have it made an impression.

Well SSG V. Michelle Woods , I am more like Gen. Patton, JUN JIN (To the front) as was said in Korea, of course mines don't count.. lol

But I was actually wondering since your currently in the military which one do you emulate?

I would figure you as more like SGT Randleman, "The Bull" SSG V. Michelle Woods

Little of both.

If "Band of Brothers" was even remotely realistic, Buck Compton had a very familiar style of leadership that worked well at the company level. Dick Winters had a more professional, yet still personable, style that served him better in his commands.

The common thread was that they both clearly demonstrated "Mission first, Men always."

I would like to think that I emulate both. However, I believe that I am more like Buck Compton. He was definitely concerned with morale and welfare and I strive to do the same.