I think you have to start citing your sources. My sources suggest that Cromwell was hugely popular and pretty much not allowed to leave his post, which is why the restoration did not happen until after his death. He was even pushed to accept the crown himself - that's as popular as one could get. Also he was not into regicide, and King Charles I was only axed because he stubbornly refused to pare down his ambition from absolute monarchy to anything less, and with full agreement of the Parliament.
Sources: The Revolutions podcast by Mike Duncan.