I never heard of the Phalanx-class either, that's why I kept saying she was a Galaxy-class, because that is what she looks like to me. I would much rather people add the new STO ships, or ones like the ambiguously canonical Federation-class Dreadnought instead of non-canon ships like this, because their are a lot of ships that do exist that aren't accepted as canon, unlike in Star Wars where almost everything is canon, including books. An Acclamator-class (Republic troop transport/frigate from the Clone Wars) is dueling an Ambassador-class (Enterprise-C is the most famous Ambassador-class due to a legendary battle) in the last two pics of the first set. The Ambassador-class was easy to identify, because I have seen that iteration before in SoA2, the ST mod.
The Stargate ship dueling the Galaxy-class is clearly a non-canon Tau'ri ship, because it definitely isn't a Prometheus-class (X-303) or a Daedalus-class (BC-304).
The SG ship is clearly not a Tau'ri vessel; the design is all wrong. The aft sections of Tau'ri capital ships (as in, full warships) are dominated by multiple, large engine systems. If I had to place it, then that SG ship is an Ancient vessel from dolynick's Stargate Races mod.
WRT the STO vessels, those aren't canon either. ST canon policy is pretty much "series+movies", and recently, the tech manuals were thrown in. Games, books, whatever else, is all non-canon. So there goes that approach.
WRT SW canon, you sound like you think the whole "almost all SW stuff is canon" is a bad thing. TBH, it can get mixed up, yeah. But it's not a bad thing, because all of the books/movies/shows all help to flesh out the setting. That they are all considered "canon" is pretty much a natural thing. Also keep in mind that SW canon isn't "canon" so much as "continuity". And that movies>derived from films>books>whatever other stuff there is, in varying degrees of hierarchy.
That ST canon is very restrictive is pretty stupid, yes. OTOH, it's good, because there's some mind-bogglingly stupid stuff that happens in some of those books (like a warp core described as generating power equivalent to several hundred stars, which only goes to show that ST writers are absolutely stupid WRT the sciences and the setting*).
However, a simple fix for the Phalanx class would be to simply call it the Federation-class, because AFAIK there's no official images or descriptions of the Federation-class.
*Warp cores are invariably described as a matter/antimatter reactor**. You'd have to react stupidly large amounts of said fuels to get power levels on the order of several hundred stars, and ST as a whole isn't conducive to such power generation. 99.999999999999999999999% of everything in the shows/movies is described at much lower power levels, and in general, the setting isn't one that depicts planet-shattering (literally) firepower (because that kind of power generation would have the consequence of giving that kind of firepower) on everyone and their grandma's ship.
**Yes, I realize that Romulan warp cores are artificial singularities. They are the sole exception, and also seem to provide slightly inferior power capabilities to Federation warp cores (this is probably due to Federation optimizations rather than Romulan design/construction inferiority).