That 60 day limit was ignored so frequently in the past it might as well not exist.
Pretty much every attempt at stopping the president (from Clinton onwards) ends the same way: house votes on it, senate might agree with the slimmest of majority, it reaches the president's desk, president vetoes it, it goes back to the senate where it needs 2/3 majority to overthrow the veto, and it never gets that 2/3 majority.
Yep, it’s a case of are they willing to impeach the president over this. And the answer is likely no. Some of the America first lot might vote against on ‘How does this help America’ grounds but I don’t see them getting near the threshold.