Maybe I'm misunderstanding, since I've never used Ableton Live, but if you just want to be able have all the audio in a project follow tempo changes do this:
- Select all audio tracks (maybe only one per project if I'm understanding)
- Alt+A to show the Audiosnap palette
- Click the "Power" button to enable AS on all selected tracks
- Click the Clip Follows Project button (the mode defaults to Autostretch)
- Change the tempo
If you're not using tempo-synced FX or importing MIDI tracks to sync with the audio, it's not even really necessary to have the timeline synced to that audio. If you start with the project tempo at 100 before importing anything, that makes a nice baseline for calculating percentage increase/decrease in tempo.
If you
do need to have the timeline synced, after enabling Audiosnap on the tracks:
- Select one of them, and check the detected Average tempo shown in the AS palette.
- Sometimes this value will be off by a factor of two; if you think it's off, open the drop-down and select one of the other options.
- If the piece was recorded to a click, it's likely that the whole number tempo shown is correct, in which case, you should manually enter that as the initial tempo in the transport module directly.
- If you're not so sure the whole number is right, set the drop-down to the right of Set Project from Clip to "Clip", and click the button. Sonar will set a fractional average tempo that's within a half a beat of the whole number shown.
- From here you can proceed to enabling Clip Follows Project as above.
I'm assuming through all of this that the majority of your backing tracks have a fixed tempo. If not, things get more complicated.