I think a lot of the disagreements regarding law-keeping are semantic. Not all, but some. Keeping commandments doesn't really have any effect on the way we are justified before God: but some people tread along with a "I'm saved by grace; therefore, I don't have to keep 'the law' " and that attitude is really no better than the Judiazer's telling people they have to keep the law of Moses to be saved.
People that believe should be learning the teachings of Jesus, and his apostles and doing/teaching his commandments; not to be saved, but because they are saved: faith has a transforming effect on the life of a believer. Faith in Jesus, and his work is right: but if we believe in his work, we should also believe his word; which the scriptures say is exalted above his name. It's a lot more like doing something for someone you love than following a list of rules.
We are free, indeed, from the Law of Moses and it's curses. Hebrews covers that well; although, I think there is a lot to be learned from the OT law and the OT in general. Jesus said; every scribe which is instructed unto the kingdom of heaven is like unto a man that is an householder, which bringeth forth out of his treasure things new and old. So, if you have someone that is constantly hating on the OT, they are probably not a good teacher of the new. Jesus' teachings are freedom, and if anyone thinks themselves free from Jesus teachings, they are probably free from him, too; which is obviously to say they are in bondage: but the things in the old testament are shadows of the new; and that has to be kept in mind when studying the OT. For example- "keeping the sabbath" the Jews would do to the letter, while we as Christians do enter into the rest of which the Sabbath day commandment is a likeness. And you see Paul in his letters using the scriptures- like the law about not muzzling an ox while it treads the grain- to explain basic principles of morality that are very much applicable under the NT, so while we are free from the law, we aren't necessarily "free" from the lessons of the law, and examples set in the OT, for us in the new, because those things are for us and not keeping us in bondage in the first place.