PC: Greater European Influence on Sengoku Jidai Japan?

After watching some lectures on the Sengoku Jidai period, I wondered how Europe (and by extension Christianity) could have had on Japan.

Two of the biggest changes Europe made to Japan were firearms and Christianity. Is it plausible that a European power (probably Portugal or Spain) might take notice of the political instability and decide to use it to their advantage? They offer the daimyos firearms in exchange for their conversion and the peasants under them?
 

Maoistic

Banned
The Europeans give up on America and India (very tough chance though) and focus all their efforts in conquering and dividing Japan for themselves. In this scenario, I see the conquest of Japan going very similar to the conquest of the Caribbean. Europeans first arrive as traders and explorers, overwhelming the Japanese eventually by swarming them with merchants and then launching a full-scale invasion. The idea that the Japanese would have successfully repelled Europeans that literally came out of nowhere and by surprise - thus making them completely unprepared - is one that can be easily refuted with the conquest of southern Hindustani territories (Goa, Kerala, Sri Lanka, Malacca).
 
The Europeans give up on America and India (very tough chance though) and focus all their efforts in conquering and dividing Japan for themselves. In this scenario, I see the conquest of Japan going very similar to the conquest of the Caribbean. Europeans first arrive as traders and explorers, overwhelming the Japanese eventually by swarming them with merchants and then launching a full-scale invasion. The idea that the Japanese would have successfully repelled Europeans that literally came out of nowhere and by surprise - thus making them completely unprepared - is one that can be easily refuted with the conquest of southern Hindustani territories (Goa, Kerala, Sri Lanka, Malacca).
I suppose a European power could try and conquer Japan, but really I was thinking more of an increased European and Christian presence (which, to be fair, a European conquest would do).
 

Maoistic

Banned
I suppose a European power could try and conquer Japan, but really I was thinking more of an increased European and Christian presence (which, to be fair, a European conquest would do).
The thing is, the only logical step up is conquest since the European influence over Japan in original history was gigantic. Even after the Tokugawa ban, the Dutch remained enmeshed in the local politics of Japan and their trade became an important element of their economy and culture. The only way the Dutch, for instance, could increase their influence is by bringing more Protestant pastors and missionaries, but that would just lead to another Shimabara war, and thus the only thing left is either conquest or leaving the island.
 
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