The basic question of global warming is a fairly simple physics problem, it’s because people care so much about absolutely tiny differences that such complex models are used. Aka Mercury vs Venus surface temperatures closely line up with simple models, but on earth people care about +/- 0.1 C and even more so in terms of local weather patterns.
It is as certain and clear as science ever is. The idea that it isn't is due to propaganda that is very convincing.
The evidence is as good as any non-controlled experiment is going to be, perhaps. But it's pretty important that we not confuse these kinds of descriptive results with the actual certainty that comes from high powered controlled trials. It's extremely easy to make reasoning errors in descriptive data analysis, that look very convincing.