There's no such thing as funding for "the man caused side" of climate science, because understanding human impacts requires understanding natural variables also.
Just look at those papers by
Hansen et al which Steve Case has been so emphatic in his personal incredulity about, estimating a possibility of 1 up to 5m sea level increase(!) by the early or mid 22nd century. Was that all about "the man caused side" of climate science? Well, no... from my brief glance - very brief glance of the 52 page paper - some of the main things it seems to depend on are
1) proxy reconstructions of prehistoric temperature changes,
2) proxy reconstructions of prehistoric sea level changes,
3) observational research into ice sheet structure and dynamics,
4) observational research into oceanic circulation patterns,
5) observational records of recent ice sheet losses,
6) observational records of recent sea level changes and
7) computer models simulating and building on that research, attempting to reproduce both prehistoric changes and observed recent variation, and
8) forward projection from those records and computer models
Not a single one of these areas of research or observation can be simplistically labeled as "the man caused side" of anything. Heck, oceanic circulation patterns is the biggest and potentially only major source of internal natural variability on centennial and millennial timeframes. That earlier research - on which
Hansen et al's hypothesis depends -
could have showed a strong natural warming influence over the past half-century; it probably would have showed it, had that been the case. But it didn't. Similarly computer modeling of what we've learned from observation and research is evaluated first and foremost by the model's ability to reproduce known, historical variability (eg. below); which is
mostly natural variability, especially earlier in the instrumental record. If simulations don't hit close to the mark when modeling historical variation, they're obviously not reliable in projecting future variation.
To model the historical variation well, we have to know a lot about the natural variability which largely produced it. So even the future projections of climate change based on computer models is not about "the man caused side" of climate. Such a notion merely suggests a fundamental lack of understanding of the nature of climate and science in general.
IPCC AR5 WG1 Figure 9.08 ("Observed and CMIP5 simulated global mean surface air temperatures"):