Warning: spoilers ahead for Timeless #1!
Going beyond their shared ability to time travel, Doctor Who's playbook when it comes to adventuring through time and space. Just as the Doctor rarely travels alone in the TARDIS, neither does Kang as he also brings companions with him on his far less benevolent adventures. While Kang's reasoning is more narcissistic in nature, there does seem to be some partial commonality as to why they both bring others along for the ride.
In Marvel's Timeless from Jed MacKay, Kev Walker, Greg Land, Jay Leisten, Mark Bagley, and Andrew Hennessy, Kang the Conqueror recruits supervillain scholar Anatoly Petrov to him on a journey into the past, hoping to convince him that Kang himself has made the biggest impact as a supervillain, rather than other foes such as his rival Doctor Doom. Petrov then s Kang as they venture to the Ice Age where he defeats a woolly mammoth with nothing but a spear and his bare hands before Kang discovers the presence of a pirate timeline attempting to reattach itself to the main Marvel timeline (which would be catastrophic.)
Visiting one of Kang's observation stations outside of time, Petrov witnesses the full scope of Kang's reach and influence, viewing multiple events and potential futures simultaneously. The pair then head to the reality of the pirate timeline so Kang can challenge a version of Reed Richards who became Doctor Doom in his efforts to preserve his existence. While Kang starts losing his battle with Richards' Doom, he's ultimately saved by Petrov, who runs Doom through with a spear, not caring how the arrogant Kang will react. In the aftermath, Kang spares Petrov while revealing that his bravery in challenging Kang is why he takes companions, sharing a similar sentiment to the Doctor, who likewise appreciates the unique nature of humanity.
While Kang's reasoning for having companions leans towards a more narcissistic desire to be challenged in order to prove his own superiority, the Doctor likewise enjoys having someone there to show off to while also being challenged with alternate perspectives she wouldn't consider on her own (and, in the past, to prevent her more callous excesses.) Kang has often explained that he sees himself as a hero because while he wants to rule the time stream, he also protects it from outside threats, and his ability to value others suggests this protective instinct could be molded into something more heroic.
Where other villains are incapable of acknowledging the worth and humanity of others - and despots like Doom would vaporize any dissenter, even one who saved their lives - Kang does actually ire other people, even if he considers himself superior. Kang's lifetime is split between many personas, and his ability to ire others suggests there's still the hint of a possibility he could eventually become a true hero. As such, it seems Kang the Conqueror might be more Whovian than fans ever thought. Not only can they both travel through time, but their shared desire to have traveling companions ties them even closer together as characters.
While Marvel's Timeless is a one-shot that largely focuses on showcasing the future the Marvel Universe is heading towards, the time it does take to reveal these new insights about Kang is most welcome. The time-traveling despot is only going to become more popular as he gets more of a spotlight in the MCU, and having a companion to ground him in his travels just as in Doctor Who is a genius way to explore both Kang's vulnerabilities and his inhumanity.
