TR/Tactician: TR doesn't stay out. The "if you do" is resolved on the current turn, and since you "don't", the 2nd play is known at play time to have no next turn effect, so TR isn't actually modifying the Tactician as of the cleanup phase.
TR/Outpost: TR does stay out. Outpost's "can't cause you to have more than 2 turns" clause doesn't resolve until the moment it attempts to give you another turn. If it's giving you a 2nd turn in a row, that's fine. If it's giving you a 3rd turn in a row, it fizzles. The card doesn't "know" it will fizzle until that clause actually resolves, so the TR is modifying it and must stay out.
Consider, if some (unlikely) hypothetical effect made it possible for another player to have a turn between your 2nd turn and your 3rd turn, the Outpost would actually give you both extra turns. Whereas the "if you do" clause of Tactician has come and gone as soon as you finish playing it, so nothing could ever cause the 2nd play of Tactician to actually give you its bonus.
There were specific rulings from Donald on BGG about both of these combos. Last I checked, isotropic had a bug where TR would stay out with Tactician. It doesn't matter much.