Let's assume there is a god.
One attitude is that most religions teach paths to feeling, understanding, having a relationship with god. Just as two roads are not identical, they can both lead to the same place. They are not in conflict, they are just different.
Thus, to say that Judaism is in conflict with other religions is to say, "There is only one correct path, and since Judaism is not it, then it must be in conflict with all other religions and their paths to god." In other words, YOU think that there is a conflict.
There is also identity - one's individual identity, then one's identity as a family member, then one's identity as a member of a tribe, or a member of a group sharing a trait, e.g., love of chess, or geographical location.
Often groups that share an identity have members who feel antagonism towards other groups that don't share that identity.
So, if there is a minority that does NOT share the dominant religious identity, it's the nature of some people (of either group) to feel animosity towards the other group. Having a built-in propensity to feel an identity, other members of the group take up the animosity of the most antagonistic.
Shiite or Sunni in Iraq, Protestant or Catholic in Ireland, White Americans vs dark-skinned Hispanics, this animosity between identity groups is common. The animosity is a good political tool for leaders who are unable to lead - they can blame their own failures on the "others."
So, it's not the nature of Judaism that causes the conflict, but the proclivity of people to feel tribal identities.