Well that was quite a long-winded bit of speculation. I can come up with most of it sitting on the commode if I forget my smartphone. The idea of using hydrocarbons to warm the atmosphere of Mars is not going to prove global warming on Earth. Mars is 2.2 times as far from the Sun as Earth is. There is some kind of formula for calculating how much energy is going to reach Mars from the Sun compared to how much Earth gets. I think it is something like RMS. Double the distance and you will reduce incipient energy by 1/4. So Mars will get less than 1/4th.
Bringing hydrocarbons from Titan is a complete flight of fancy given the even greater distance of 14 astronomical units AU compared to Mars 2.2 and Earth 1.0. And half of the time Mars will be more than 12 AU from Mars making it harder to haul all those hydrocarbons.
And then there is the question of why Mars doesn’t already have an atmosphere already. Part of it is gravity.
If Mars is to be inhabited it will be under domes and under ground.
Where did you get your figures? Mars is 1.5 A.U.s from the Sun and thus receives 1/2.25 = 44% as much sunlight per square meter at its surface. Titan is in orbit around Saturn, which is 9.5 A.U.s from the Sun.
Regards,