I like your posting.
Jesus being brated by Jews for eating bread without clean hands.
There is a lot to say on this. My understanding is that Yehsua was teaching that we need to follow the words of Moses. That the Pharisees placed "fences" around the Torah,, they brought custom, tradition and culture and elevated that to the heights of Torah. Yeshua was teaching that we need to do as the Torah states, but that the additions of the Pharisees need not be followed.
On washing hands. Jesus ate with clean hands, his hands were not dirty. But Yeshua did not follow the custom of the Pharisees that dictated that the hands be ceremoniously washed with a specfic kind of bowel and in a specific order and way. This was what this dispute was about.
The Pharisees claimed Yeshua was sinning because he didn't follow their rules. Yeshua was saying follow Moses and is the Pharisees contradict or add to what Moses said, then ignore the Pharisees.
But know that Yeshua did say to follow his fathers law, Torah,
The New Testament is the path that leads to the father, and the law of the father. For those that do not know the father, the only way to know the father is through the son. Follow the path.
Want to know life.
God gifts us life, grants us choice, and sets us on our path. Our life is the sum of our choices and all paths lead back to God.
Yeshua points us towards the path of righteousness. Read Tanach.
Beware of false prophets that claim that Yeshua overturned God in Heaven or the the children of Israel have been replaced. Those are lies and deception.