TL;DR: Both the strict consensus tree and the 50% majority-rule consensus tree found support for the monophyly of the Pythonomorpha, containing mosasaurs, aigialosaurs, dolichosaurs, and snakes (pachyophiids and modern snakes).
Abstract: The Upper Cretaceous marine squamate Pontosaurus lesinensis is redescribed. Extensive re-preparation has exposed new details of the skull, mandibles, and postcranial skeleton. Important new characteristics include a unique supraoccipital-parietal articulation, elongation of all postdentary bones, at least twelve cervical vertebrae, hypapophyses with large unfused peduncles, twenty-eight dorsal vertebrae, and a fused scapulocoracoid with a primary coracoid emargination. Cladistic analysis of all anguimorph squamates, including mosasaurs, aigialosaurs, dolichosaurs, snakes, and Pontosaurus, resulted in 3-most parsimonious trees: 334 steps; C.I. 0.78; H.I. 0.42; R.I. 0.81. Both the strict consensus tree and the 50% majority-rule consensus tree found support for the monophyly of the Pythonomorpha, containing mosasaurs, aigialosaurs, dolichosaurs, and snakes (pachyophiids and modern snakes). Pontosaurus is found to be a dolichosaur nested within the clade Pythonomorpha as the sister taxon to Adriosaur...
TL;DR: None of the cladograms support the hypothesis that coniasaurs and mosasauroids are derived varanoid anguimorphs, though it appears true that fossil taxa significantly alter the structure of squamate phylogenetic trees.
TL;DR: Cladistic analysis of extant and fossil squamates finds the fossil squamate, Coniasaurus Owen, 1850, to be the sister-group of the Mosasauroidea (mosasaurs and aigialosaurs), and Pythonomorpha is supported in all 18 shortest cladograms.