Conservatism is as stated, about upholding the current established order or returning to previous social hierarchies, if there is reason to believe that any aspect of such positions is not true, then conservatism is unable to reconcile this as by nature, conservatism has to uphold these positions regardless of any argument or evidence to the contrary.
You get the likes of Boris Johnson who is happy to call himself a libertarian and a conservative at the same time.
But then when you go further into the history of the conservative and unionist party in the UK, you have the likes of Benjamin Disraeli who was happy to refer to himself as a one-nation conservative, a term that it is a bit contradictory. You also have the likes of Iain McCleod, an intellectual giant in the Tory party, whose ideas were seen as too clever by half.
The conservative party has for the better part wrestled with its contradictions and settled on thing- the attainment and retention of power is the supreme objective. Everything else is secondary.