As I recall, the answer to your question is NO. The headliner and tacking strip DO NOT have to be removed to install the glass. Another reason I say NO is because suppose your glass and rubber seal was already installed and later on the windshield had to be replaced. It doesn't make sense that the tacking strip for the headliner would also have to be removed in order to install the new windshield because that may damage your headliner unnecessarily, creating more problems and making the job more difficult. I found that the windshield is definitely NOT a loose fit and is held in place mainly by the windshield rubber. The garnish molding just covers it all up and makes it look nice.
Here is an excellent video that will really help. I installed my windshield the same way as the video.
https://www.bing.com/videos/rivervie...FE&FORM=VAMGZC