The reason there was a paradox in the original TAS episode was because various teams from the
Enterprise were using the Guardian to explore different areas of history, and were doing it pretty much concurrently. Kirk and Spock were using the Guardian to explore one era, whereas a different team was using it to explore Vulcan history. Spock couldn't be in both eras (as shown by the Guardian) simultaneously, so that's why he was retroactively 'killed off'.
In the Abrams timeline, these events might never happen at all, or indeed might happen very differently. (It could be that nobody has even discovered the Guardian in this timeline.) Any time paradoxes that arose in the TAS episode arose directly from the use of the Guardian; without it, there might never be any paradoxes at all.
(There's nothing in Spock's life that means he "had" to die as a child; the only reason that happened was because teams in the future were using the Guardian in the way that they were. If the latter doesn't happen, then the former doesn't have to either.)
What I wonder is if they did go through the guardian, and happened to go to Keeler's time period, would they see their alternates?
Yes, that is theoretically possible. From the 1930's perspective, the prime and Abrams timelines are possible futures, and both can still arise; teams from both of those timelines can travel to the past and meet each other.