I don't think you due process is being violated. However, if you are having issues with your public defender then you may be able to request from his supervisor that you be appointed a different public defender. The issue is that although you have a right to an appointed counsel, you do not have a right to any particular appointed counsel. Public defenders are all attorneys and they know the law and rules of evidence; however, often times they do have high case loads, but that doesn't mean he isn't working on your case.
Of course, you can always seek to retain a private attorney.
I wish you the best of luck.
You have a right to an attorney of your choice, but sometimes you have to pay for that choice. You do to get to choose your public defender. It is not a due process violation to have an attorney who does not spend time with you, but depending on how bad it gets it may be a violation of your right to counsel.
Also, I would never tell anyone that a case is "easily beatable". There is no such case. Be very skeptical of such claims. It's usually an attorney trying to sell you something.
It sounds like you are feeling frustrated with your Public Defender. They are underfunded, understaffed and carrying a heavy caseload, but if you try again it sounds like your Public Defender will be able to help you see the evidence you wish to see. You can try to get a different one appointed, though that might not solve the problem of time pressure. You could also try to find a way to retain a private criminal lawyer. Whatever you do, relaize that this is your one chance. Make the best of it.