I wrote a Marxist analysis of some films for my dissertation, but over a decade after handing it in I've never gone back to it. I realised that when you start down that wobbly path, which will lead you nowhere, you come out with something which may offer a small amount of insight (doubtful), but will end up saying more about you than the subject.
Even if Bukowski was still alive today to ask, you would still struggle to get a true reflection of what his views were. Everyone carries a myth of their existence, some of that is created, and some is just a construct of what we perceive to be the truth of who we are. My gran didn't realise she was a rascist, but she was. Celine thought he was an anti-semite, but his earlier work suggests he wasn't (at that point in time).
You will write a paper, a handful of people will read it, no one will enjoy his writing more, some may enjoy it less, a library will archive it, ten years down the line someone will quote it in their paper to support their own 'unveiling the myth'. If you do carry on with this (which I guess you will) at least make it poetic, don't write like the dust is already suffocating the line.