The Calixis Sector is a tough nut to crack...you warleader has tried as best he can to map out your options. The list is not exhaustive, nor are all the options necessarily exclusive.

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Guten tag, Herr Apostle!

These are your options:

Spinward approach: Indirect approach. Work you way rimward along the spinward side of Calixis, into the unpopulated regions between that sector and Scarus. Once you reach the core of the Periphery region, occupy Kulth, swing to trailing and strike for Scintilla. This option assumes that the Imperium is stilling enganged on the Spinward Front and that the rumors about the Screaming Vortex opening are true.

Pros: Avoids direct confrontation. Buys time to gain power. Possible new allies. Good springboard for attack on Scintilla (via Kulth - staging base - and Iochantos - source of cult troops). It is the route that has the least need for infiltration.

Cons: The route is the longest. It will take several years at best. It also hinges on outside events (the Screaming Vortex and Imperial dispositions on the Spinward front) over which you have no control.

Frontal approach: This option calls for a direct assault on Scintilla by way of the Markayn Marches. Defeat the Imperial navy in space, seize Solomon and use it as a forward base, harves cult troops at Iochantos and launch an allout assault on Scintilla.

Pros: Fast and effective. Least complicated plan. 

Cons: By far the riskisest strategy. You might not even have the nav assets to take Solomon, let alone attack Scintilla.

Back approach: Indirect approach. Seek a route through the Hazeroth Abyss - it is said a stable route exists that terminates at Guytoga. If the route can be found and Guytoga subverted you have both gained a portal for deeper infiltration and a way of late bypassing the main defensive lines of the Calixis sector.

Pros: Avoids direct confrontation. Buys time to gain power. Allows you to use the Word and infiltration for maximum effect. If successfull this is about the only option that could allow for an actual surprise assault on Scintilla, backed by heavy subversion and infiltration. 

Cons: This option hinges on the success of the infiltration teams and finding routes that may not even exist. It also assumes that you can outwit the Haegum and the Emperor reborn (more so than the other options).

Raiding Calixis: Waiting game. Send reinforced raiding groups into Calixis.

Pros: The only region in the Calixis sector worth raiding is the Josian Reach. It's not as well defended as the Markayn Marches (because it has fewer priority targets and offer no easy routes to Scintilla). Here you raiders can actually do something good.

Cons: It's still more dangerous and less rewarding than raiding in the Finial sector, so why bother? It also brings you no closer to Scintilla - it is just a waiting game.

Raiding Finial: Waiting game. Send reinforced raiding groups into Finial sector.

Pros: Offers rich targets and (relatively) little risk (since the Finial fleet is busy with the Reaving). Essentially the best raiding option.

Cons: It's still just raiding. Good for building you up, but it does nothing for your Calixian agenda. It also doesn't contribute one iota towards your deal with Asmodeus.