Op - look at it from this view. Have your unhelpful thoughts about what might be at play ended since creating this post and having all of our opinions?
So to answer your question with no opinions to reassure you there is nothing wrong with you. Again none of the mumsnetters can really make a factual decision on this as we are not you or your neighbours.
Your question: AUBU to feel hurt by neighbours not reciprocating the friendship you have offered? No - your emotions are a valid response to your interpretations of the event.
The rest of your thoughts about why they have not reciprocated are assumptions so far.
Unless…
Have your neighbours said to you We do not like you and we do not want to be friends?
Have they said to you we do not like you and do not want to be friends because of your race?
Have they said to you we do not like you and do not want to be friends because of your religion?
Have they said to you we do not like you and we do not want to be friends with you because of your race and religion?
Have they in any way shape or form shown you any hard factual evidence they do not like you?
Not inviting you over is not factual evidence they do not like you and do not want to be friends and that they are disliking of your race and religion. That is your assumption.
You can decide how you proceed from here.
You can choose to keep worrying about what they and other people that drop into your life think and ruminating about why they have not reciprocated and continue to feel hurt.
You can focus on the family and friends who you share good times with and enjoy that.
Keep being true to yourself and following your values and true friends will appear.
I mean who knows they may one day invite you over and you get to know them a bit better and then you dislike them.