@satchef1
We don't live in a neatly categorised world, and 100% vote conversion can never be assured. Yet even on that political compass, you can triangulate a manifesto which would suit not only 'the left' but most Tories. Looking at a website with questions more relevant to the UK (
https://uk.isidewith.com/), the overlap between LDs, Greens and Labour is about 70% in my case. The centre is a dynamic position, not the point of origin.
Additionally, there are periods where solutions to problems forced by events are largely technocratic and transcend ideological considerations. Presently, everyone and their uncle are set for raising more revenue from taxes and managing Brexit, for example; prior to that, the crash and FPTP itself straining to answer a more fragmented electorate warranted such solutions.
One can get triggered about purity of alignment and party identity, or one can seek power. Tories - a coalition of libertarians, apolitical capitalists, status quo communitarians, traditional (social) conservatives, One Nation Tories, national liberals, nationalists, unionists, Kipper refugees, hardcore Blue Labour who switched and sundry nutters - do precisely the latter, and, surprise, surprise - they get power more often.