There should be multiple rankers on top of the index, users should be able to choose and create new rankers. Same for filtering - what gets hidden/censured, put the power back to the users, let them select their filter lists. Instead of one true ranking and filtering, let users customise it as they like.
Or put another way, governments would chose to intervene by helping to create more 'competition' - which creates product variations approximating true market needs - as opposed to trying to 'legislate features'. 'Feature lists today' but something else tommorow. If the market is healthy, it will move in the direction of value, is the idea.
Governments can also help by promoting and supporting standards.
A famous example, Yahoo!, didn't walk away from search and partner with Microsoft because of the difficulty of building an index. They did it because it was going to cost billions per year to try to keep up with Google in producing results.
I'm not arguing there's no work to do in building an index, but the problems of crawling and indexing can be solved by cash. They're a moat against small challengers, but not against well capitalized ones. Ranking and filtering require lots of research and tuning. This is the moat against even the well capitalized.
Put another way: do you really disagree that Google would still easily dominate search based on result quality even if small startups got access to their index data?
The 'anti trust' in this situation would be Google using it's own dominance over Chrome and Android to 'unfairly' promote it's own products.
The most unhealthy thing in these systems is the 'value chain creep' that allows monopoly in one area, to be leveraged into other areas.
Imagine if you owned all the real estate in the state and you had a cracker factory. Hey, just charge your cracker-making competitors 2x the rent. Nobody can make crackers but you.
Or you own all the railways and charge your Oil pumping competitors more to transport Oil - you have an Oil monopoly.
Chrome is not a 'money losing product' - it's absolutely one of the most important products in Google's portfolio - the surpluses are yielded elsewhere, in Search. Arguably same for Android.
If there were an 'anti trust' case it would be to separate Search/Chrome/Android/Cloud in the similar vein that Microsoft would ostensibly be separated from any app software.
Amazon uses AWS surpluses to 'dump' on commercial distribution which is another weird one.
If there is a case to concern over monopoly, it's those.