Preserving ORDER BY in SELECT INTO

Question

I have a tSQL query that takes data from one table and copies it into a new table but only rows meeting a certain condition:

SELECT VibeFGEvents.* 
INTO VibeFGEventsAfterStudyStart 
FROM VibeFGEvents
LEFT OUTER JOIN VibeFGEventsStudyStart
ON 
    CHARINDEX(REPLACE(REPLACE(REPLACE(logName, 'MyVibe ', ''), ' new laptop', ''), ' old laptop', ''), excelFilename) > 0
    AND VibeFGEventsStudyStart.MIN_TitleInstID <= VibeFGEvents.TitleInstID
    AND VibeFGEventsStudyStart.MIN_WinInstId <= VibeFGEvents.WndInstID
WHERE VibeFGEventsStudyStart.excelFilename IS NOT NULL
ORDER BY VibeFGEvents.id

The code using the table relies on its order, and the copy above does not preserve the order I expected. I.e. the rows in the new table VibeFGEventsAfterStudyStart are not monotonically increasing in the VibeFGEventsAfterStudyStart.id column copied from VibeFGEvents.id.

In tSQL how might I preserve the ordering of the rows from VibeFGEvents in VibeFGEventsStudyStart?