When utterly firm faiths and convictions collide...?

...where do you find hope for a less than bloody resolution?

Two adjacent articles on the BBC news site today:

A Palestinian woman prepared to kill and die to regain the land of her people.

http://news.bbc.co.uk/1/hi/world/middle_east/76670...

"...all of them have violated our land...Palestine is only for Palestinians. We must kick them all out in any way we can."

And an Israeli youth equally convinced the land is his by God-given right.

http://news.bbc.co.uk/1/hi/world/middle_east/82048...

"It's the land of the Israeli people, the Jewish people, so we're allowed to be here."

The nearby articles are not much more positive.

Siding with one or the other won't help answer my question:

Is there hope or is there just going to be more bloodshed?

And is religion and faith here part of the solution or part of the problem?