Someone who is pro-abort to the point of addressing NARAL, anti-gun to the point of prodding Carolyn McCarthy to join a gun-grabbing presser, pro-CFR, pro-illegal to the point of defying federal court orders to keep NYC's sanctuary-city policy, pro-human-caused global warming, and anti-federalist can reasonably be construed by any definition TO NOT BE A CONSERVATIVE.
Thompson supported CFR. But he's also pro-life, pro-gun and anti-global warming. An actual conservative can overlook the CFR part to get the larger body of conservativism in a candidate. Rudy offers little in the way of conservativism, and even that is tainted by his refusal to follow the rule of law in areas such as sanctuary cities and his stashing of official records that were supposed to belong to the city and the public.
By your definition.
Of course, you may have noticed, there are other opinions on that subject!
It's just cute when folks declare themselves the ones in charge of defining this or that! :-D
"Conservative" means what I say it means! So innocent in the ways of the world . . .