Which Buddhist sect do I belong to? I've been a Buddhist since I was 13 years old, ever since my confirmation and studying the bible following that, realizing that I didn't believe in the scriptures which I was raised on then I started searching for some sort of a philosophical structure and knowing that without religion I'd have a void within me.
To make long story short, I studied the tenets of Buddhism and the eight fold path and I started living like that at the best of time however strafing away from it at the worst of times.
However I would like to add some depth to my understanding of Buddhism and it's teachings, however the local temples are either Thai Buddhists with the golden statues which I find revolting or the Zen which I'm not quite sure of.
As far as i can tell the delineation of school/sect doesn't really come into play until one plans to join a community for the long term or is in a doctrinal discussion.

The various schools have collections of texts, some doctrines therein are non-negotiable whereas a lot of texts will be in a "maybe true maybe not true" category (ie commentary) and the various positions in regards to those will be tolerated within that school as a whole, although some sects within a school might hold strongly a position regarding a particular non-canonical text and be thus closed off to those of other persuation.

Buddha himself said that he taught the doctrine of analysis (Vibbhajavada) and one would historically have ie  Vibbhajavadins of Theravada, people who would reject some positions held within a school, based on analysis and cross referencing with texts known as true.

Nowadays there are different sects within Theravada, some reject the Abhidhamma, some reject commentary, some rejecting some commentary, some not rejecting anything at all even if the texts contradict themselves. 

It is my impression that relatively few people actually study the texts before joining a school. 

More often than not people find a community and get taught as the teacher was taught. More often than not the expression and methods are more or less based on the very recent popularizations or passed down tradition.

There is really no reason for having to choose a school before having familiarized oneself with the various doctrines.

Birds of feather flock together, so it is with holymen and views. If one wants to join a community one will for the most part have to learn their particular doctrine because it's just a lot less conflict if all members believe same things. The actual study of texts will often be neglected as well, because that's looked at as a bit dangerous as it might cause disruption and challenge the guru's authority.

Also most monks and lay people alike don't really study beyond the things their teachers tell them. This in part has to do with the sheer volume of essential and non-essential material to study.

If mastering a teachers expression &amp; it's meaning takes 1000 hours, that alone might keep one occupied for years and it might not even result in any understanding of the essentials of what the Buddha taught but instead be based on stories, anecdotes, popularizations and new age systems of doing and explaining things. 

Therefore you probably don't belong to any particular school. Ideally one should know why one belongs to a particular school and the various points of controversy.

You can frequent the various communities as you like and as i said people usually don't care about what you believe lest they see you as a threat or consider you for long term cohabitation.