Not so. May's cabinet, before last weeks' resignations, was carefully balanced between Brexiters and Remainers. The two departments most directly concerned - the Brexit Dept itself and the other new department for developing post-Brexit trade links - were both headed by long-term Europhobes, David Davis and Liam Fox. Fox is still there, and Davis's replacement, Dominic Raab, is also pro-Brexit, and also, incidentally, a much more impressive operator than the hapless Davis.
According to Jacob Rees-Mogg, May hired Remains to staff her Brexit office. Perhaps the context was that the ***initial hires*** were Remains until pressure was put on her to balance the composition.
There is much confusion.
It is reported that Boris Johnson was a Remain and enemy of Brexit.
It is also said that Davis was initially a Remain who somehow became a Leave.
It would be good to have more details to discern who is really who they say they are.