That's simply not true. Some will, certainly, but not all and not the majority. Remember that the minister in charge of Brexit is David Davis, a lifelong Europhobe who's been unflagging in his public determination to get out of the EU ever since he became an MP. Likewise Liam Fox, who is responsible for negotiating the new trade agreements. It was because of continuous pressure from them and other like-minded Tories that Cameron called the referendum in the first place.
As for the majority - just because the majority of MPs were 'remainers' before the referendum doesn't mean they will try to block the will of the people now. On the contrary, the will of the people will be respected, but there will be close Parliamentary scrutiny of the detail, as is constitutionally proper. One of the main themes of the Brexit campaign was the repatriation of lost sovereignty from Brussels to the Westminster Parliament. It would be a bit perverse for those who campaigned on that basis to object to the exercise of that sovereignty by Parlilament now.
You are using pro-EU epithets, e.g. “Europhobe”. And someone who is truly against what the EU is would not insist on translating EU dictates into British law as part of so-called “Brexit”, in spite of his rhetoric earlier this year.
And never presume that Parliament really reflects the will of the people. If it did, then the referendum would have happened far sooner, and the Marriage Act of 2013 would never have materialized.