Kemi Badenoch wants to take us out of the ECHR, I am posting a link to this so people know what is contained within.
https://www.echr.coe.int/documents/d/echr/Convention_ENG
It may help with putting discussions in to some context, oddly I am sure our obligations with regard to asylum and refugees are covered more in the UN conventions than the ECHR in which case leaving the ECHR probably won't make any difference. It will make the UK less attractive to come to, but that could end up applying to a lot more people.
The ECHR also covers freedom of expression, freedom to assemble etc, the right to a trial, a fair trial and a lot more. SO the consequences will be far ranging for UK citizens. Scotland and N Ireland who voted to stay in the UK will NOT be happy about us leaving the ECHR and are likely to demand referendums on leaving the UK.
It is not as if we can just pick and choose what parts of the ECHR we can comply with, saying that Trump seems to be doing a good job of picking and choosing what parts of the constitution he can follow, with total impunity.