I don't think Track Templates contain any note/midi data, so these would have to be copied separately once all the synths & tracks are set up.
This being the case, it would make sense to 1) do a separate bounce to clip for all the midi tracks in Project 1 so they are all 1 contiguous clip, 2) slip edit the left hand side of each one so that it starts at 01:01:000, 3) with both projects open drag/copy each one to Project 2 to wherever you've set the Now Time in Project 2. I'd make sure Snap to Grid is ON and set to Measure so they'll all line up perfectly.
What about your buss structure in P1? Do you want to replicate this in P2 or use the existing P2 structure?
Automation?
Meter/Key changes?
Tempo changes?
This is potentially quite a lengthy job.