Well either the govt. are engaged in a cunning ruse to let a bit of shit hit the fan to avoid art 50, or they are as utterly clueless as they appear to be. Christ If I were a bit younger and had no kids I would be so outta here.
I think May is agnostic about Brexit - she doesn't really care about whether we are in the EU or not. She has no ideological position, she is a pragmatic "end justifies the means" politician (her record at the home office is evidence for this).
She came into the job as PM prepared to Brexit - because it was the pragmatic way of ensuring that she had a party to lead. But because she was never intellectually engaged with the EU debate, I think she had literally no idea of the legal and practical implications.
Now she's coming to an understanding of how difficult it will be - but at the same time, she also faces an increasingly rabid press which will hunt her mercilessly if she gives the slightest hint that Brexit might not, after all, mean Brexit.
So she has to play for time: A50 has already been pushed back at least twice. I'm not sure that inflation is what will save her - more the knock-on impact of a weak exchange rate, stagnant or negative real wage growth, and an inhospitable climate for foreigners, all of which will make the UK much less attractive to migrants.
immigration has to drop to give May and others a 'get out of jail free' card. It won't, on its own, quiet the sovereignty ideologues like Davis, but I think we can be pretty clear that for many people, 'taking control' and 'sovereignty' are just politically-correct code words for 'keeping out foreigners'. So I think net migration will ultimately be the key to this.