It is unfair to drive a wedge between Jesus and Jews. The High Priests of the Temple in Jesus' time were out of touch with the poor, and the tax burdens that were being placed on them. They were more concerned with their own problems, keeping head and shoulders above water amidst their Roman rulers. The fact that their fellow Jews were losing their land and livelihood seemed to be taking second place. Maintaining their own power took precedence. (Imagine how some of us feel about today's Democratic leadership cozily content in their DC bubble while so many scrounge for gas and grocery money.)
The Jews in that time had been accustomed to traveling to where rabbis and/or prophets resided--John-the-Baptist at the Jordan River is one example. However, there were people too poor to take a day off for even that much travel. This was added to the worry of not being able to pay their Temple Tax or make their Temple sacrifice, which left their Temple outside of their reach. All of us should be able to imagine the additional depression and heartache this caused.
Jesus had a message for all these people, which was to remind them of their own heritage and what they had learned in other periods of hard times. The first thing he did was to go to the people who could not come to him. He reminded them of Hebrew teachings, but instead of reciting well-known stories and scriptures, he changed things up by teaching these same lessons using his own parables.
He reminded them sins are forgiven; that the sacrifice God desires is not a burnt offering, but mercy towards all. He reawakened within them the Jewish spirit of hospitality. He reassured them that the Sabbath was made for man, not man for the Sabbath.
Instead of adding more worries to the Jewish populace, he reminded them of who they are and gave them rest from their worries.
This was Jesus the Proselytizer if you will. He did not tell the poor and the weary they were doing it all wrong. He did not lash them for not doing something a certain way. Anyone who begins Jesus' message by telling people what they are doing wrong is not following in Jesus' steps.