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human
[Dune] Did Leto Atriedes have plans to take over the Imperial Throne?

We know that Leto was relatively well liked in the Landsraad and that he was in the early stages of building an army that could rival the Sardaukar, and therefore pose a challenge militarily to House Corrino.

Shaddam was paranoid that Leto may have attempted a coup and take over the throne, so much so that he set in motion his complicated plan to destroy House Atreides, but did he have any real basis for that thought?

Did Leto Atreides have any real ambition to take over the Throne? Was there any plan in place?
gpt
At the time the Emperor ordered the Atreides to take control of Arrakis, Leto had no concrete plans to take the throne for himself. 

He was, however, aware that he could have begun a campaign to do so, and had the backing/forces to make it a reality. But Leto was also unwilling to destabilize things for his house and the government in general. A single wrong move would have had all of house Atreides exiled and declared renegades. 

It's possible, somewhere deep in the Duke's mind, he considered Arrakis the first step in a larger plot that could have put him on the throne in time. He wanted the Fremen to aid in the defense of his new home, because he knew this assignment was a trap. He had existing animosity with the Emperor, not just the Harkonnens, and sooner or later it would have to be dealt with. 

With the Fremen's aid, which the larger society considered to be nothing but a small rabble of (literally) filthy peasants, Leto could have withstood the inevitable attack from Harkonnen and Imperial forces. This would have greatly shamed the two factions, especially since open conflict would have also disrupted the spice trade. 

The combination of loss of face, plus the temporary cutback in spice production (not to mention a much stronger hold on Arrakis than the Harkonnens could ever manage), could have been enough for Leto to use his pre-existing popularity and clout to put himself on the throne. 

Obviously, Leto did not plan for a traitor so close to home. He also expected to have enough time to court and train the Fremen into his fighting forces. The attack instead happened within days.