They are all somewhat absolutist.
I think the other point you've hit on is the conversion into, exile out of. In times past (and still true in most of Islam and some places in Christianity, Judaism) many people lived in fairly closed societies. Everyone had the same beliefs to varying degrees and within a fairly narrow range. There was a general view that, if you don't believe like everyone else, you can't be trusted or are actually evil and should be shunned, driven out, or even attacked. This mindset certainly isn't/wasn't unique to Abrahamic faiths -- the same was true to varying degrees in Rome, Egypt, Babylon, Nordic lands, etc. What was somewhat unique was the conversion concept -- actually going into a land with other gods and convincing those people they should convert.
What's made it possible for most faiths in Western Democracies to generally coexist peacefully (whereas centuries ago they fought to the death) is that most toned down their rhetoric and, in many cases, their views and missionary zeal.
So, to avoid conflict between the Abrahamic religions, you almost need
1) People in key areas (especially the Middle East) to develop a more tolerant mindset such that you could have Jews, Christians, and Muslims living side by side without strong conflict. They might argue religion and even try to convert one another, but they don't exclude or kill one another. That's a basic change to society/humanity -- doesn't seem likely
2) The religions to focus in different areas. For example, Judaism could remain a solely regional/national religion, just in Judea. Christianity could accept that Judea has a settled faith and focus efforts to the West and North (which they largely did initially). Islam could focus NE. That could have theoretically worked while they remained semi-small, but that, too would assume changing human/political behavior. Islam focused W and NW because those were trouble areas (at the time) with great power and wealth. As Islam grew, it felt it had to challenge those areas in order to progress towards its goal of converting everyone/everything.
The problem is that the various Abrahamic faiths are very absolutist.
"The God of Israel"
"I am the Way, the Truth and the Light. No one comes to the Father except through me"
"God is One, and Mohammed is his Prophet"
One of the REASONS for their success was this. Conversion INTO the faith was easy, conversion OUT involved exile - at best.
If you change the Abrahamic faiths to be more tolerant, they'll be less successful - so probably they don't really matter in the long run.