From an EVE perspective, I have to disagree. DUST influence can make or break a system siege. I'm a Director in an EVE FW Corp, and I'm playing DUST for exactly that reason. Sadly, the system I'm looking at now just isn't that useful to EVE players, without the ability to properly direct attacks, it's pot luck whether the battle has any impact on the warzone. Being able to actually control which systems mercs hit would be great, but would require a fine balancing act to prevent it from being exploited, because the bonus you gain from DUST is really that important. You'd see a lot more interaction between EVE and DUST if this were the case.

From the DUST side of things, you're right. There really isn't that much of an indication as to what a win or loss means. Instead you're bombarded with largely unimportant stats, with a few key bits of information hidden in the midst of all this mess. Streamlining the information somewhat, and including more meaningful stats (like militia pilots killed, etc) would help tighten the link between the two. Being able to quickly identify that a system is under siege with militia kills, contestation level, etc would help make the battles feel more meaningful.

1. As you said you cannot direct attacks on a system that would be benificial to EVE pilots so it makes FW useless for EVE pilots if you do not get the matches which are random to the system that you need
1a. Because of above the DUST player just bounces around randomly fighting with no purpose even if it is a 16man que sync because they cannot help EVE pilots

2. EVE players need the ability to put out contracts on systems that DUST mercs can pick up and maybe even vice versa DUST mercs putting out contracts for OB support but if its an organized push then its best coming from EVE pilots with the additional extra support from mercs on the ground

3. The incentive - DUST mercs dont care unless they roleplay, the goal is ISK and items in most cases and in EVE the more space you own the more your LP rewards go further because you get discounts and more LP the higher the tier is, this NEEDS to apply to the DUST LP store for mercs because it gives another reason for fighting but it would only work if EVE/DUST can co-ordinate attacks on systems and planets since it would benefit both parties

4. Flash alerts - If a system gets heavily contested to say 90% then flash alerts appear for the defending side in which they can hit up various contracts for that system and help decontest it, it would have to have an incentive like maybe an ISK payout for example to try and get the mercs into the battle