Conservatives have long tended to underestimate the value of institutions, and to get out maneuvered by liberals in institutional battles. As a result, it's usually conservatives who exit from institutions in order to form new ones. But because nothing has changed with them, their new institutions frequently undergo a reprise of the same problems that plagued the original ones they left.
The proposed United Methodist Church split is a good example of conservative thinking on institutions. Although the conservatives won the previous rounds of denominational votes, it is they are who are heading for the exists and leaving all the denominational infrastructure in the hands of the liberals.
Their split protocol is also a terrible deal for conservatives. It establishes the liberal position by default, and sets possible supermajority thresholds at every level to get out. This suggests many fundamentally conservative congregations will end up trapped in a now officially liberal denomination with no way out.
On conservatives and institutions: https://themasculinist.com/the-masculinist-42-why-you-should-be-on-the-advance-not-the-retreat/
United Methodist Split Protocol: https://www.umnews.org/en/news/diverse-leaders-group-offers-separation-plan
Indianapolis Plan for Separation: https://indyplanumc.org/