Greetings from YourDost.
I appreciate your efforts to express your situation in open. It requires a lot of effort and courage to open up to others, especially about personal life.
Kundli, Astrology, Match Making, are all vast topics which are tough to understand by mere humans. I personally, often get confused when i encounter such situations. My friend, i can't give a sure shot response stating please go ahead and deny it or please dont ignore the science. To discuss it in detail would require another post i believe :-p
But my friend, what i suggest is Follow your intuition. If you both love each other deeply, and understand each other well, you should think about marriage. If you have each others backs, can trust each other blindly and know each other inside out, then you both can solve all problems together happily. End of the day, what matters is the tuning between you both.
Focusing on her parents, It is understandable being a parent to worry about their child's well being. I can completely understand their state of mind and concerns. I would like to repeat the same thought again. If you both feel that you understand and know each other inside out then, please go ahead. The rest i can say will be destiny.
I wish you lots of luck and happiness my dear friend. May the force be with you and you get whats best for you.
Do reach out to us and we will gladly help you at our best.