Why would a majority view in Parliament for a second referendum be any more legitimate than the original referendum? Ok, I appreciate we have a problem here with the decision of the people given to a bunch of opponents to implement. A group who in the main reject the outcome and can't be trusted to deliver, but could work for and possibly deliver a no Brexit outcome would be an absolute disgrace, and I think would lead to considerable unrest on the streets.
The view of those MPs saying we should have a second, third etc referendum until we produce the right outcome would be entirely in keeping with EU standards, so one can only assume that MPs are comfortable with their emasculation from decades of being told what to do by Brussels and have lost the will/ability to do things first and foremost for the people of these islands.
It should not have escaped people that the French and German leaders recently agreed to discuss, formulate and enact a policy of greater integration with cross-border projects connecting the two countries on various subjects whereby there is joint ownership of projects. This onward drive to a European superstate is the reality of the future and just one aspect of the EU that voters rejected. If this country's MPs aspire to be under permanent Franco-German control (because the EU is essentially their project, being the two major economic powers), then they should be honest and say so. 40+ years of EU membership has had mixed benefits for this country, but it is fair to say that since the introduction of the common currency, that path has been resolutely down. The hopelessly undervalued German economy vs the Euro has ensured they will be in clover for years and years to the detriment of the rest of the EU, which probably helped the French decision. Yet despite this, you still find a majority of our politicians refuse to contemplate going down a path that would free us from their control. Why? Germany is on a free lunch relative to the other member states courtesy of the Euro rate, and the French want to see the back of us anyway as it would improve their clout in the 2 country ruling elite.
Somehow we have to get a no deal outcome from this mess as it is the only way to no longer be subservient to Brussels. All other options would negate the referendum result.