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Instead of Musket Master I think you'd be better off with a technological firearm considering you're going to play Iron Gods
I've been working with similar builds recently (both with Magus and Eldritch Knight; there's a lot to love about each). When I first started experimenting with them I thought they were a novelty, but they seem to be surprisingly effective. Not top-notch optimization stuff by any stretch of the imagination, but they are generally functional and viable builds.
Don't bother with the Abundant Ammunition or Fabricate Bullets spells. These spells can create bullets, but not black powder. Black powder represents the majority of the total cost of a firearm shot so the actual savings of these spells for firearm users are tiny. They're passable even if you get the spells naturally, and definitely not worth Spell Blending.
Musket Master is incompatible with Siege Gunner, so you'll lose out on the nice int-to-grit bonus if you do this. Given that you're in Iron Gods, if you're going to take any archetype that's incompatible with Siege Gunner on a build like this I'd go with Techslinger. Pretty much the same response to the Musketeer Swashbuckler; if you're going to give up on int-to-grit from your firearm class, go with the Techslinger.
Spellslinger is a bit painful BAB-wise (although if you can swing fractional progression alternate rules it's not as bad). It also tends to really eat through its daily spell loadout a bit too quickly, and that's only made worse given that you're running Magus instead of Wizard. However, this is definitely doable. I would recommend not taking any levels in Gunslinger at all if you want to use Spellslinger. This will help maximize your magus spellcasting progression. It does mean you'll need to pick up one additional feat (Amateur Gunslinger for Quick Clear) but I don't think you want to mix all three of these classes on one build. Either go Gunslinger/Magus, Magus/Spellslinger, or Gunslinger/Spellslinger (into Eldritch Knight). Don't spread yourself too thin by trying to do all three.
Weapon damage is definitely a problem - actually, it's the problem - with this kind of build. One extreme solution is to take 5 levels of Gunslinger, which gets you Gun Training at the cost of very delayed spellcasting. This greatly delays when your build blooms (14th level to get reach spellstrike) but makes you generally more consistent along the way. Going with Spellslinger can definitely help; the combination of Mage Bullets and Arcane Pool can get you some utterly ludicrous enhancement bonuses on your firearm, and will more than make up for the lost point of BAB. A somewhat similar build that I've found awkwardly delightful is the Mysterious Stranger/Sorcerer; it gets 9-level charisma based spellcasting and cha-to-damage with firearms. It's pretty gimped if it runs out of grit and struggles with misfires until it gets a reliable weapon, but "cha-to-damage-sorcerer" is a pretty attractive sales pitch.
The Iron Gods adventure path meshes well with high-intelligence characters, so that is in your character's favor.
I don't think that Gunslinger fits the Harry Dresden/Star Lord mash-up you want (not familiar with Waxillium Ladrian). Pathfinder's black powder firearms are finicky toys that require a lot of special abilities to work, but I think your character would want a reliable weapon that he does not need to think about. Also, losing a level of spellcasting, even on a 6-spell-level caster like a magus, is a serious disadvantage. The gunslinger's powers don't fix the glitches with technological weapons (the Techslinger archetype does, but loses the ability to fix misfires with gunpowder firearms), so that single gunslinger level could become useless if your character switches to a technological firearm.
As for your individual options.
1 - Stat spread change: Dexterity would be a much appreciated defense.
2 - Spellslinger: The spellslinger archetype for wizard is terrible.
3 - Weapon damage: When a magus needs damage, spellstrike comes to the rescue. That is all you need.
4 - Swashbuckler (Musketeer): This class sounds more in theme than Gunslinger, but I still prefer pure Magus.
My Iron Gods campaign has magus, skald, fighter/investigator, and gunslinger/rogue PCs and a gun-toting bloodrager NPC. The gunslinger/rogue is really a gadgeteer and focuses on debuffs through the Targeting deed and the special abilities of a technological weapon called an autograpnel. The bloodrager has no way of fixing a misfired gun quickly, so she carries two spare firearms. At 11th level, the skald took Exotic Weapon Proficiency(Heavy Weaponry) to use a technological weapon called a plasmathrower. The magus is content in melee with spellstrike through his rapier, but he uses Weaponwand to have a ranged spell available while still wielding the rapier. The fighter/investigator has expressed interest in technological grenades, but the rest of the party vetos the idea because he is reckless.
2 - Spellslinger: The spellslinger archetype for wizard is terrible.
For a conventional caster build it's terrible, and even for a dedicated blaster it's a niche pick, but it really shines for gish builds since Mage Bullets is an amazing ability.
Please don't play holy gun. It's notoriously bad. Oh and if you take 3 levels of trench fighter you can get dex to damage. But you know that is 3 levels you're losing to your spells so you know
I've been playing around a bit and I realized I could build a more charisma based build with mysterious stranger or via another intelligence based 3PP archetype (Mechanist).
If I go:
1 - Gunslinger (Mechanist/Pistelero OR Mysterious Stranger)
2 - Paladin (Holy Gun/Divine Hunter)
3 - Paladin (Holy Gun/Divine Hunter)
4 - Magus (Eldritch Archer or Eldritch Archer/Hexcrafter)
If you're going to go this route, I would recommend using Sorcerer instead of Magus and going into Eldritch Knight. You lose out on spell combat and spellstrike, but your spellcasting ability is much stronger and you get to pump charisma into the stratosphere for massive benefits (cha to damage, grit, saves, and spellcasting). Don't mess around with charisma-based archetypes or class features if you plan on going Magus.
As Dox mentions, don't use Holy Gun. It is really bad. Trench Fighter is a good option if it's allowed at your table, although keep in mind that it does not get firearm proficiency or deeds (specifically quick clear) so you'll need to buy those back with feats or dip gunslinger anyways.