OK, from a geologist without protfolio, and I’m sure you’ll get more accurate and detailed answers, but in the meantime:
It would actually be quite difficult to get them to smash into each other like two billiard balls. Firstly, of course, you’ve got to get Mars on a collision course with Earth. About the only way one could do that would be if some massive body passed close enough to Mars to throw it out of its current orbit, into one that might intersect with that of Earth’s. Then you’d have to wait, probably a very long time indeed, until Mars and Earth came close enough in their respective orbital cycles that the interaction of their masses had a significant effect on each other. Even then the most likely scenario would be a near miss, with Mars and Earth heading off into new orbits that may or may not (probably not) intersect again.
A reddish moon getting bigger and bigger…
In all cases where the planets came into actual contact with each other, both would be altered to the point that one might as well say they were destroyed, even if both were left with most of their original mass after the collision.
Depends on the speed of impact and whether the impact were direct or glancing. For a direct impact, I would think the greatest likelihood would be a high-velocity collision that would eject huge amounts of debris, with the remnants of the planets continuing on in significantly different orbits.
Increasing tides and greater earth movements as Mars approaches within maybe three or four times the diameter of the Moon’s orbit. Once Mars gets within Moon distance, really high tides and massive earth displacements, I guess. One smarter than I could calculate the gravitational effects of a Mars-sized body at a distance less than that of the Moon, but at that point one would have probably less than 24 hours to observe those effects before all humanity was obliterated in the impact.
It is highly unlikely, IMO, that any point on the surface of the Earth would be unaffected enough by the strike that anyone could survive.
Gravity doesn’t get ‘screwed up’; what you would have would be the gravitational effect consistent with whatever mass Earth was left with after the strike.