That is exactly what it means walt. If you put yourself under the law, then you are obligated to keep all 600+ laws. You are either under the law period, or under grace period. We don't get to pick and choose which of those laws we'll be bound by and which we can overlook. Our salvation does not rest on how well we keep rule #4 or #8 or #18. It rests on how well Christ kept them.
“Do not think that I have come to abolish the Law or the Prophets; I have not come to abolish them but to fulfill them. For truly, I say to you, until heaven and earth pass away, not an iota, not a dot, will pass from the Law until all is accomplished. Therefore whoever sets aside even the least of the laws demands and teaches others to do the same will be called least in the kingdom of heaven, but whoever does them and teaches them will be called great in the kingdom of heaven. For I tell you, unless your righteousness exceeds that of the scribes and Pharisees, you will never enter the kingdom of heaven." Matthew 5:17-20
Jesus came to teach and demonstrate the only right way to understand and comply with the divine commands that results in the promise of life fulfilled for all those who receive his teaching and do it.
If you do not accept this teaching about the figurative nature and hidden subjects of the law, and conform to it accordingly, eat his flesh and drink his blood, you cannot have the life promised for obedience to the law in you and cannot enter the kingdom of heaven. Even if Jesus received that teaching from God and fulfilled it, you cannot have the life promised for obedience to the law in you unless you do it..
"I have set an example for you to follow." John 13:15
To understand what Jesus meant by saying, 'anyone who sets aside even the least of the laws demands and teaches others to do the same will be called least in the kingdom of heaven', see Genesis 3:14