I've seen it suggested that even if "leave" wins your Parliament will simply refuse to act on the results.The state legislature of my state,Massachusetts,has done this at least once...when voters voted to lower taxes.They simply ignored the results.
Don't know if your Parliament might try that or if would be legal to do so.
It would be legal but would be such a violation of Constitutional convention that the Queen would be obliged to step in and dissolve the government and install a new Prime Minister and caretaker government specifically to enact legislation.
No British government is going to push things that far. No British government will force the Monarch to use those reserve powers. It just will not come close to that.
So then the reverse could be true as well: If Brexit FAILS (GOD forbid), then a newly elected Parliament could vote to LEAVE and ignore the results of the vote, no?
Quite likely, the vote is non binding.
There is no legal procedure for a country to leave the EUssR.
If Brussels said NO, would the British Parliament really defy it?
The vote of UK nationals today may not matter even they do vote to “Brexit.”
And I’m on record as affirming national sovereignty.