None of that is evidence.
He has overseen half a season and we're in roughly the same position as last year, given that circumstances change, I wouldn't say that is going backwards.
He has operated in the premier league and beat the sort of opposition we aim to be around, Dalglish has operated at the level we aim to be at, doesn't make him any more suited to being our manager than Rodgers.
He isn't expected to "rebuild" our side immediately, he's expected to add to it and work with what hes got. Who says he's expected to repeat what he did at Swansea? He was more than likely hired for his potential.
He made a complete mess did he? He addressed the problem areas, a DLP in Allen and a striker in Borini. Just because they weren't what we expected doesn't mean he made a mess of the window at all. Equally, sending Carroll on loan was based on assurances from the owners/chairman that just weren't kept, that's not his fault.