Are we talking Gallente paramilitary organizations? Cause there are thousands of corporations out there run by Gallenteans.
He asked for gallente loyalist alliances. I'll translate that into the far more accurate Federation loyalist alliances - and those need to be populated by corps run by players that identify their corps as pro-Fed and likely RP as such.
Otherwise, any corp with a 'gallente' toon could be seen as 'pro-Fed' - an extremely innacurate remark, unless we want to call the ILF pro-Fed, or CVA as a whole when a gallente was executor. Those are merely two examples.
Far as I can recall off-hand some of the most well-known pro-Fed corps are STRIX, MXD, EL-G, Federal robotics, Moira. and a few others, some of these are dead, some can't be counted as pro-Fed anymore. If an alliance is to be the formed with a primarely positive viewpoint on the Fed, then it will need to be made, led and directed by corporations that agree on the need and use of such an alliance and who/how it should be run. Given how widely the above-mentioned corps think and run themselves the likelyhood that even 3 decently able corps that can agree on the needs of such an alliance is nearly zero, and if there are any less that this the need for an actual alliance goes away - two corporations, even 3, 4 or more could easily simply work together and share +10 standings with one another, possibly intel channels etc.
To be honest reffering to the militia as a pro-fed alliance is false. They are not an alliance - they are the NPC militia, a different thing, and have their opponents in similar groups in the Empire and State, an ally in the Republic. They don't count, but individual corps in the militia could count. Now, the difference between corps who RP as fed-loyalists in the militia and those who simply find themselves in the militia is quite pronounced - EL-G is a small less-than-20 member corp in the FEDEF that RP as pro-fed - Shadows of the Federation, on the other hand, recently returned to the FEDEF from a months long trip into null-sec in all it's forms and even piracy. As a corp, they are about as hard on the 'pro-fed' RP as LDIS is pro-SDII, though individual members might RP as such from the confines of their corporation.
Pro-Federation alliances are unlikely to ever form because to do so will require Pro-Federation corporations that work, and have stable futures - they can't be a flare-of-the-month creation with little planning and no goals or member activety ratings. Once a number of corporations like this have formed that have similar enough goals to work together, but unique enough ideas and methods to remain their own corporations, the prospect of an alliance with a common theme becomes a reality - if a Pro-Fed alliance is born, all the corps in it must agree that it is needed and aim to maintain it, all comming adverseries and issues be damned. If they don't, it won't last a single month simply because the member-corps don't honestly need it and will drop it as soon as any serious issue arrives, no matter what that is. No-one will maintain an alliance worthy of that title just for the hell of it - they must want it and believe that maintaining it is the better option.