Not sure if the end result will look right as you footage is interlaced, but Create a black clip of 1 sec. It should be the same resolution as you project 1920x1080 progressive.
Drop it into the record area creating a new edit. Then copy your interlaced conform in to the source area, and then drop it down on the clip of black in the record area.
You should end up with a soft resize on all of your clips. Select one of the clips and enter the editor [E] on the soft resize. you can then adjust the setting to make sure your video is being processed as you would like. One of those is deinterlace and progressive. See the HELP in preferences for me details on the resize settings.
By creating the dit first with a progrssive clip of black, all other clips added to that edit will conform to that edits resolution.