Arguments in a loving relationship is completely healthy! I think it's healthy to debate (argue) things with your significant other. We need differences of opinion, we need to be able to voice those differences, we need to be able to agree to disagree sometimes. We need over the years to be able to grow, and change, and develop - and this may mean revisiting certain ongoing issues over and over again to re-assess where we stand on them.
A healthy relationship can take the arguments and use them to built a stronger understanding, and gives us the wish to be together, but also the freedom to grow as individuals.
However, the arguments are dependent on certain areas. They are healthy as long as: you argue the issue, not spend the entire time attacking each other. You actually LISTEN to your spouse's opinion and try to see things from his/her perspective. You don't let it drag on for longer than a day. You come to a FIRM resolution, even if it means agreeing to disagree and reassuring each other of your love and respect. You don't keep fighting about the same issues over and over and You don't use the argument to rehash past issues.
So in whole, you have arguments because you and your certain someone have different point of views and like to share certain areas of those views with one another. You may disagree to her agreement or vice versa. So. People argue. But don't worry, like I said, its healthy.
Just because you love being with someone doesn't mean that you are not going to get into arguments. The saying that opposites attract is true a lot of the time and when you are dating someone who differs in so many ways from you, it's only natural to fight. While you may balance each other out, you are still different and when you are comfortable enough with a person than usually someone will voice any problems with those differences.
You each are unique, with your own beliefs and interests, and being close with someone is always going to bring your differences to light. How you handle them is what is important. Arguing allows each of you to express and defend your opinions. And as long as no one is in physical danger, there is nothing inherently wrong with it.
And is whether or not you argue in this relationship something of biblical proportions? No. After all, your question did state the you were already in love regardless of the arguing.