Why must there be a link? At most they're two people who resemble each other somewhat despite living a century apart. You may as well ask if Captain Ron Tracey and Dr. Simon Van Gelder are related, or whether Dr. Ann Mulhall is a relative of Dr. Katherine Pulaski.
While there was indeed a certain amount of speculation about a possible Paxton connection from the time Weller's casting was announced, I don't think such a link is really necessary in order for Marcus to exhibit any or all of the qualities you list.I think Marcus could be said to be xenophobic to some degree, seeing as how he evidently strongly dislikes major alien powers, notably the Klingons, and seeks to destroy/subjugate them, making the Federation more totalitarian.
On the subject of Admiral Marcus, how long was he a member of Section 31? Did he join them before or after the destruction of Vulcan?
I though ID was a year after STXI? Kirk was marooned on Delta Vega on Stardate 2258.42, and the London scene at the start of Into Darkness is Stardate 2259.55.
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