As for your insinuation that Jesus had a problem with public prayer all I can say is that I guess we each take away different things from reading the Bible. In my readings of the NT such an assertion was never made apparent to me.
There's this from Matthew right before he gives the Lord's Prayer:
And when thou prayest, thou shalt not be as the hypocrites are: for they love to pray standing in the synagogues and in the corners of the streets, that they may be seen of men. Verily I say unto you, They have their reward.
But thou, when thou prayest, enter into thy closet, and when thou hast shut thy door, pray to thy Father which is in secret; and thy Father which seeth in secret shall reward thee openly.(Matthew 6:5-6 ).
It is my belief that in context the Lord is condemning personal prayer in public which is done for personal attention. Instruction on personal piety if you will and condemnation of those that pray in public so "that they may be seen by men." Others, like the Quakers, accept those verses literally.