Jericho reach has done a great job in explaining the overall grand strategy of the war. I am sure many people are speculating about what the proper course of action would be to end the war with a victory. After reading it, a few thoughts came to my mind
1/ Take Vanity, that would be a major foothold in the war against Chaos, which is the central war. That would be used as a strategic springboard further into the salent. Surging Space marines and/or Deathwatch kill teams would probably tip the balance there since it is a war fought by specialists anyway.
2/ Bombard a planet about to be devoured by Tyranids. This was suggested in Achilles assault, but the idea of launching a kill ship on a planet when it is being devoured by a hive ship would be a great way to reduce the biomass of Hive Fleet Dagon
3/ Invite a company of Imperial Fists to Hethgard. Make the Tyranids throw themselves against a vast city of fortresses fortified by defences bolstered by a Chapter which specializes in defence. If there are other Space Marines there such as Space Wolves and Storm Wardens (suggested by the core book), then it would mean that the Tyranids would burn through serious biomass trying to take it.
4/ Send a request for the Minotaurs. Seriously, a Space Marine force which always appears in Chapter strength and is well equiped would act as a sledgehammer at one point of the campaign. Pick a planet that absolutely needs to be won like Khazant and send them there to basicallly demolish the defences. Alternatively, have them boarding Chaos ships or Tyranid hive ships since they excel in Close combat.
5/ Make peace with the Tau, or at least a ceasefire. Have 3 fronts cut down to 2. Find ways to redirect that awesome Tau firepower against Chaos and the Tyranids. Jericho reach and Achillus assault suggest that back channel talks are taking place. Find a way to sabotage Ebongrave so he turns his attentions elsewhere. Sure the Tau are a xenos threat that must be exterminated, but wait until the other treats are eliminated before wacking them with full force. They are in many ways the lesser evil compared to the other nightmares humanity must face in the galaxy. Find some radical members of the ordo Xenos who would support such a plan.
Any other thoughts to bring victory to the Imperium?