My personal take on Gaian diplomacy:
The Gaians seem to have broardened their goals, previously focusing hostilities towards Planetform, BMM and OS&C. I see them now moving towards a greater focus on overthowing the government that they believe is corrupt and largely controlled by the corporations. Therefore, they tend to side with Kusari in the conflict.
The alliance with the Farmers Alliance is logical since both groups have somewhat similar goals. Synth Foods is not a big focus for the Gaians, although increasing attempts by the corporation to operate on Planet Cambridge my provoke increased hostility.
The Outcasts are hostile for two main reasons. First, the distribution of cardamine, which I refer to as "Terraforming the Body and Mind". Second, the slave trade, which goes against the ethos of the Gaians.
The alliance with the Corsairs is complicated. It gives the Gaians a strong ally against the bretonian government and a much needed friend in bretonian space, but it also requires glossing over various atrocities perpetrated by the Corsairs, possibly by was of conpiricy theories concerning government propaganda.
The Hogosha are allies due to the Corsairs and the Farmers alliance, and Gaians suppoting Kusari over Bretonia.
Relations with the Mollies are tense due to the alliance with the Corsairs, but not really openly hostile.
I treat the IMG as neutral, as they also dislike BMM and the Outcasts. It may be possible to improve relations by way of diplomacy and trade.
I'd also suggest attempting improving relations with the LWB, as many Gaians fear that what happened to Stuttgart could also happen to Cambridge.
Concerning Gallia, It seems resonable that they would sympthesize with the Council. However, they are probably too preoccupied with Bretonia to get very involved, but could try to establish trading links.
The Gallic corporations seem to act in a similar manner to BMM, profiting without much concern for pollution and the environment. I can also see the widespread use of oil-derived spaceship fuel to be a concern.
As for ships, the civillian line (Griffin, Falcon, Eagle, Roc) is great. In addition, the Waran bomber can be used by Gaians, as can the Farmers Alliance Bomber and possibly the Black Dragon fighter. Various other civillian ships could work too. For transports, their ties to Bretonia through the Green Front, and to Kusari though the Hogosha mean that Bretonian or Kusari transports could be used, in addition to generic Civillian transports. The Corsair Frieghter or the Hogosha transport should be fine if you ask nicely.
You can have a limited presence in Kusari, although Bretonia and the Tau systems are the primary concern.
Also, bear in mind that many Gaians were recruited from the students, graduates and academics on Cambridge, so new technological developments are not out of the question.