To the contrary, it is others, such as some athiests, who wish to make religion a “private matter”. Or a hobby like knitting, as I remember hear one such athiest say.

–Second, when we do extend our beliefs into the public sphere, we are noted for nagging, for being judgmental, argumentative or holier than thou. –

That is to be expected. When one is right, those who are wrong and unrepentant will grasp at any straw, real or fictitious, to label those who are against them.

–But we see neither of these in Jesus.–

I suspect the Pharisees and Sadducees would beg to differ. They would likely say that Jesus was nagging (He got on them about their tithing), judgmental (He called them hypocrites, among other things), arugmentative (why won’t He just feed us already, and not go on about eating Himself), and holier-than-thou (He thought He was God).