Their goal is to prevent Trump, not get Hillary in. That's why they're promoting voting for Kasich as an alternative to Trump. They e been clear about this the little I've read.

But if hillary somehow comes on top of this recount, clearly they will vote for her.

If they had an ounce of integrity, they would pick the person who won the popular vote.

Kasich is a nothing here.

The only choice is Clinton.

they've been very open from the beginning that their goal is to stop Trump, even if that means stopping Hillary too.

Their goal is to stop Trump, and they believe they can do that if Republicans in the House have three choices instead of two. The only way that can happen is if they can turn enough Trump electoral votes to a third person, and they believe that Republican electors are more likely to do that if some Democratic electors do it as well.

what either party's electors do, because Congress will have the final say.

the president (one state, one vote) from the top 3 presidential EV recipients and the Senate picks the VP (one senator, one vote) from the top two VP EV recipients.

Any electoral vote they choose. It just takes a joint objection and both the House and Senate voting to sustain the objection.

The house can only vote on the top 3 candidates that were on the ballot.

for the top three who receive electoral votes, not the top three on the ballot.

One and done if they manage to pull it off.