No, it is not a "normal" thing to do, to refuse to get married on principle. It is not okay to go on thinking that way. Truly loving someone involves much more than just being together. Getting married means standing up in front of everyone and declaring you will take responsibility for each other's lives, be there for each other, share your life together. Be partners in everything you do, through and through. To have RESPECT for each other and for the union you now vow to share. Respect for the arrangement of marriage that has been created for us by god, and for his standards of righteousness.
If you aren't motivated to really and truly take responsibility for the one you claim to love, then honestly, you don't love them enough to reap the benefits of a relationship with them. It's that simple.
It's these kinds of people that we're talking about when we're saying they're marrying themselves to an (expletive) because some married people don't even understand the responsibilities they have towards their mates. To love them, care about them, treat them right, let them in, build a life together, a true partnership. Not some kind of "baby I love you, let's live together, figure things out as they happen, don't know what the future holds" house of cards.