No, it won't happen, and it won't happen for one of two reasons, depending on whether Trump stays publicly active or not.
If Trump doesn't stay publicly active (which seems unlikely, but could happen in several ways - for example, he could die), then he's not a problem for Republicans. Speaking against Trump would annoy his supporters (who are not going away no matter what) and isn't likely to win many people to the Republicans. If Trump somehow becomes a non-factor they will do their best to praise him as vaguely as possible and talk up what they perceive to be his achievements (like the "Trump economy" or whatever).
If Trump stays publicly active (which seems inevitable unless there's a major change in circumstance), then the Republican Party faces the issue that while the Trump base might not be big enough to sway general elections, it is
more than big enough to swing any primary contest, given proper organisation (which is more difficult than it seems because they're not a coherent grouping). That will keep Republicans on board with Trump out of fear for their own skins.
Additionally, there is no natural non-Trump Republican leader in waiting.
This is a list of the most famous Republicans. With very few exceptions, the people on this list support Trump. The ones that are not publicly fully on board with Trump tend to be either too old (Romney, Cheney, Dole, etc), ineligible to run for President (Bush, Schwarzenegger) or kind of a joke (Jeb!, Collins). A hypothetical anti-Trump Republican movement has no usefully prominent figure to rally around. It's a Trump Party now.