Captain Jean Luc Picard, Geordi La'Forge and Data are transported back in time, by an alien artifact and appear in the court of Phillip the Second of France in the year 1213. Their technology is not transported with them (other than Data) but they may build technology (up to their own tech level) out of local materials / with local help. The French king pleads with them to help him win the Anglo-French war of 1213, which Picard initially refuses due to the Temporal Prime Directive. But he changes his mind when it becomes clear that some other time travelers are helping England.
Because meanwhile, Nick Fury, Tony Stark and Steve Rogers (MCU) have been transported back in time by an alien artifact and appear in the court of John of England in the year 1213. Their technology is not transported with them but they may build technology (up to their own tech level) out of local materials / with local help. The English king pleads with them to help him win the Anglo-French war of 1213, to which Fury agrees in return for help return to their own time.
Keeping in mind the characters abilities, knowledge and their personalities (and how those personalities will interact with the period they find themselves in) which team is better equipped to help their side win the war?