The first two hours are 50/50 cutscenes/gameplay. The heaviness depends on your definition of agitprop. A regular normalfag has been slowly boiled for long enough as to not give a **** about the first three companions being women or the writing being subpar even for BioWare. Still, the LA demographics have been shoved into every fantasy show so much that even those normalfags are starting to notice. Even the Critical Grifter, who praised the Fallout TV show and was adamant that it's not woke, has been mentioning anti-white casting more and more often. That might make some casual people raise an eyebrow, it's that obvious with the ****** and ***** elves with nary a white guy in sight. Alas, these casuals have been programmed to avoid expressing their displeasure for the fear of being called racist.
But, returning to the main question, the biggest issue (***** propaganda) is barely present in the first two hours. The breast mutilation scars and the pronouns are tiny options in a sea of other customization options. The "establish your gender identity" dialogue is entirely avoidable.
Still, the biggest and most offensive example of ***** propaganda (i.e. Traash the non-buynary Qunari) must be much further than the two hour mark, as I am about 5 hours in and have yet to even recruit the 4th companion. And, from all the clips and the journoscum reviews floating around, its quest is entirely about trooning out and is unavoidable. It's like Dorian's "My dad doesn't like that I'm gay" personal quest in Inquisition, but even more in-your-face insufferable. The placement of it seems intentional so that all the normalfags that bought the game wouldn't be able to get a refund when they encounter this trash fire.