The more I read about this, the more I think elected officials on all three sides (Left, Right, and Trump) are all directly opposed to their bases on this issue.
Trump's base hates DACA, not just because of executive overreach but because they actually want to deport the dreamers. This is in direct contrast to Trump, who's perfectly fine with DACA as long as he can use it as leverage in a negotiation to get the Trump wall built. The wall will probably be enough to dupe the average Trump fan into ignoring the fact that their Maga King just passed an amnesty bill, but prominent Trump defenders like Ann Coulter are speaking up against it.
Congressional Republicans love DACA or any type of amnesty because they're following the
2012 election autopsy written by the RNC under Reince Priebus. They want to punt on immigration so that it's no longer a campaign issue. They don't like the fact that they have to run a "mean spirited" campaign to get through Republican primaries just to have Democrats use all of that material against them in the general election. But Congressional Republicans are also terrified that Trump wins the PR battle against them. If Trump maintains the illusion that he's strong on immigration while the GOP Congress passes amnesty, you're going to see a wave of Trumpian primary challengers to the GOP establishment.
Meanwhile, elected Democrats are terrified that Republicans are going to steal this campaign issue out from under them. If a "compassionate" comprehensive immigration bill is passed by the GOP, that takes away a major (possibly the primary) campaign issue for 2018 and 2020. So you have elected Democrats secretly hoping that amnesty fails while the Democrat base is absolutely all in on amnesty as the greatest, most compassionate thing ever.
To recap:
Trump loves amnesty but Trump voters hate it.
The GOP loves amnesty but they're afraid of Trump voters.
The Democrats base loves amnesty but their elected officials won't work with Trump to pass it.