From what I can tell the fan base is totally split right now. Some (including myself), feel that we need Levy to back Conte significantly - I'm talking hundreds of millions of quid over the next few transfer windows - and then let him do his thing. Others feel Conte needs to go, it's not working and let's get Poch back.
There are a few issues right now - some long standing and others more acute.
Issues:
Squad does not have nearly enough quality in it - we have far too many average players that wouldn't get into any of our rivals teams (Dier, Sanchez, Sessegnon, Doherty, Moura, Davies to name a few) and some of these are still playing regularly for us.
Some of our key players are in rapid decline and need moved on - Lloris and Son mainly
Conte vs Levy - You bring a manager like Conte in knowing how he works, then you don't sufficiently back him enough to give him the tools he needs. That is where we are right now. From what I hear Joe Lewis (club owner) is close to retiring and his daughter is in line to take over, the talk is she is very ambitious and has been frustrated with Levy and how he has been running things on the football side - this needs sorted. Ideally, again in my opinion, Levy either needs to be moved aside, or given strict instructions to stop fecking about with football decisions. Conte was willing to sign a long term deal with us (according to ITK folks close to the club) but is now stalling as promises once made have been changed. So it's potentially a cross roads for the club - do we stick with Conte, give him hundreds of millions of quid to build a strong squad or do we ditch him, bring in a 'project' manager, give him some young players and hope they can achieve miracles. Personally I say, if we want to be a big club then we need to act like a big club and start spending big.
Conte said last night that for a team to compete for the title you need 14-16 players of the required quality - i'd say right now we have Romero, Kane, Kulusevski, Bentancur and Richarlison at the required standard (Son has fallen off a cliff unfortunately) - that's only 5 players. We are MILES off it.