To put the scale of these perturbations into perspective, here is a statistic which shows that global warming due to CO2 is delivering about 1000 times as much power into heating the atmosphere than tidal forces can:

* Ocean tides have a power of about 300 gigawatts
* Global warming due to the Earth trapping solar power is at the rate of about 300 terawatts

So the greenhouse effect is three orders of magnitude higher than any possible tidal effect.