We do know about this issue, and what it will take to fix things. There is a third party library we use, that we need to update to a later version of that library. Those sorts of updates don’t happen quickly, especially the ones that lead to a ton of extra testing to make sure nothing was broken by doing the update.
For now, you would need to set the resolution and scaling of the monitor you intend to use SketchUp on, before opening SketchUp on that monitor. Dragging SketchUp between monitors that are different resolution and/or different scale values, will lead to problems like you are seeing.
I will add a link to this topic to the bug report for this issue, so that as there is progress someone can come back and give you an update. @JamesE in Support is also following this issue.
For colleagues, this is the bug report number to look up to see how things are going: SU-53846