So given that the Brexit party mopped up the EU elections, that puts quite a bit of pressure on the Conservatives to elect someone who will take us out of Europe by October 31st. If that doesn't happen then I think the Brexit party will immediately gain more support, enough to have a decent number of seats in parliament.
The only way the Conservatives can prevent his from happening is to take the UK out of the EU without a deal. Any other outcome will see a surge of Brexit party voters. It's also important to note that they aren't just "a party to get us out" but they are proposing to change how MPs are elected too.
So my prediction for a possible Farage PM (based on not leaving by Oct 31st) would be to promise the following:
No deal exit
First past the post changed to PR
X amount of billions put back into the NHS, possibly from doing something trivial like cutting foreign aid
Police officer numbers restored
Immigration controls similar to Australia
What are your thoughts on the last few days?