If a character has indominatable or willpower, can they choose to take the pushing damage?

Yes because Willpower says you may choose to not take pushing damage while Indomitable says you may use Willpower.

Seconding this, just declare you're turning off the "Willpower" and push away.

You don't declare that you are turning off Willpower, because you can't turn off powers anymore.

What you can do is to decide to take pushing damage when you get the second token.

this. can doesn't mean must.

but you cannot turn off PC/Q anymore to push on purpose, is that right?

right, new rules. forgot that.

good question. awaiting answer with bated breath.

At the moment this is right. When the new PG comes the TAs might get changed to be similar to Willpower and use the important word "may".