I definitely think that you should keep him on but what do Liverpool fans think of Rodgers?
Big fan of Rodgers but getting frustrated by lack of progress so can only imagine what FSG are feeling...
On the one hand, 2nd last season and despite what people think, it wasn't ALL Suarez, remember that Studge was the second highest goalscorer, Sterling was red hot and Gerrard was having something of a resurgence so Rodgers did great things with that team (of course aided by no European football) and this season was a chance to cash in.
On the other hand, he had money to spend (yes, aware of the transfer committee) on footballers with the offer of CL football on the table, plenty of good youth players to add depth to the team for the cup comps (Ibe, Wisdom, Texieria, Illori etc) but he chose to loan them out and spend the cash on a mixture of back fill and one season wonders (Lallana, Lovren). It just hasn't worked and we have in fact regressed while other teams like Chelsea, Arsenal and United have improved.
With Klopp available, Liverpool is the perfect kind of club for him and FSG must surely be watching the situation. I would guarantee that not one of Rodgers pre-season goals and measures have been met and then it doesn;t come down to an emotional decision or one of 'give him time'. it simply becomes about under performance and poor execution of a plan...can we take another season of risk under Rodgers or get someone tried and tested (Benitez, Klopp)?