I’m extremely interested in attending one of these schools, and I just want someone’s insight as to how/how difficult it will be to get into one of these schools. thanks! 
Here is what i’ve done so far:
I’ve taken AP Human Geography and AP World History and got a 4 and a 5.
Junior year I expect to take:
AP Language
AP Psychology
AP Seminar
AP US History
AP Macroeconomics
AP Microeconomics
(my school didn’t allow sophomores to take more than one during the year)
My Extracurriculars:
Debate Club President
Part of National Honors Society
I Won First Place in Debate State Finals
Over 300 Volunteer hours
An Internship with an HR (to be done this summer)
I also speak fluent Serbian, (and english obviously haha) and I’ve taken four years of Spanish
I’m in the AP Capstone Program (which is like ACE or IB, but my school created this new program since they didn’t offer the other two)
I will also be taking business college courses at the community college located near my school.
Travel Soccer/ School soccer captain
I have not taken the SAT or ACT yet; I will be next year.
Thanks!
also senior year i expect to take
AP Research
AP Environmental Science
AP Government
AP European History
and more I’m just not sure yet
It’s not easy for anybody, American or not, but first things first: you have to know EXACTLY what you want to study. I can’t tell from your APs what subject that would be, and the business courses you are taking don’t help, as none of these universities offer a ‘business’ degree. None of your course options say ‘science’ very clearly either, and Imperial is only science, so I don’t think it’s a runner for you.
For the other 3 unis, your choice of subject is crucial, as you will study only that subject for your whole degree. So, if you apply to study history, you will study only study history (there are some joint subjects, such as history + politics or history + a language, in which case you study 2 things)
What matters for admission is:
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standardized tests scores: an SAT of 2100+ and an absolute minimum of 3 (for Oxford & LSE) or 5 (for Cambridge) "5"s in APs (or, in some cases, strong 700’s in SAT IIs) in subjects that are relevant to the course you are applying to study. Note that there are two tiers of APs, and most of the ones you are planning to take are “B” tier, and considered as 1/2 APs - list is here: https://www.ucas.com/ucas/undergraduate/getting-started/entry-requirements/tariff/tariff-tables/966).
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For Oxford and Cambridge you may have required subject-specific admissions tests and/or have to submit written work that you have done for school. Also, there is an interview, which is absolutely critical. It is not a general get-to-know-you thing, as in America, but a cross between an oral exam and a tutorial.
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Your Personal Statement (essay) demonstrates your knowledge of, interest in, and aptitude for the subject that you are applying to study. Note that these universities don’t use Admissions Committees the way US universities do: your personal statement will be read by the department in which you are applying to study.
What does not matter is your GPA and any EC’s that are not directly related to the course you are applying to study.
Finally, in the UK you apply through UCAS, pay one application fee, and have one recommendation and Personal Statement that go to all of the universities that you apply to. You can only apply to 5 universities through UCAS (though a small number of UK universities are accessible through the Common App), and you can only apply to Cambridge OR Oxford.
Oxbridge accepted very few Americans this year. You can check the statistics with their admissions office. They want “5s” on everything. LSE takes far more Americans and, despite what they say, DO accept students with lower qualifications depending on course. Hint: don’t apply to IR or Economics!
It is true that international student numbers are “uncapped”, but universities are at near capacity. Just remember that they really could care less about your ECs unless they are directly related to your proposed course.