Hi & Welcome!
I think you'll find that your "worldly idiosyncrasies and longings" are 'compatible' with the teachings of Buddha if they comprise of "worldly knowledge, wisdom, logic, philosophy, and such". You are wrong if you think that Buddhism rejects these values. In fact these are very important aspects of the Buddha's teachings. Rejecting such would be ignorance, and Buddhism does not do ignorance, quite the opposite in fact. I recommend doing a youtube search for Alan Watts, he's the person I have to thank for getting me interested in the teachings of Buddha. He explains Buddhism, Tao, Zen, eastern philosophy and "religion" (for lack of a better word) very effectively for the western layperson new to Buddha's teachings.
Also, in my view labels/pigeon-holes and the connotations, preconceptions, stereotypes that they invariably conjure-up are not so helpful. I do not call myself a Buddhist even though I follow the teachings of the Buddha, as this creates a "me/us & them" mindset, divisions. You do not have to "convert" to Buddhism to benefit from his teachings. Buddha is not a god (unless you see everyone & everything as a component of God, not separate from or below) just a man, a very wise man, but a simple man non-the-less. There are no doctrines you must abide by, no rules to follow as such, nothing you have to believe in. It is not like a religion in the same terms as Christianity, Islam, Judaism, etc. You can be an atheist and benefit from "Buddhism" or a Christian and benefit from "Buddhism", etc. Meditation & Mindfulness are beneficial to all. Self discovery is the key aim. Awakening from this game that we have created ourselves, the game of society/culture, being slaves of the egoic mind, identifying ourselves only with thoughts & objects of the mind.
"I am, despite my knowledge, an in-perfect human" - The Buddha taught original perfection, not original sin. We are hindered by a dualistic mindset created by our social conditioning in the west.
I hope you will follow your thirst for knowledge and gain wisdom from it. Question everything, accept nothing.