"so much more likely" is correct and usable in written English.
You can use it to express that one situation is more likely than another: "I'm so much more likely to get the job if I have relevant experience."
If Labour loses: why does this now seem so much more likely than six months ago?
That would make it so much more likely that the rhetoric will become the reality.
Why are men so much more likely to kill their partners than women?
And that sense of camaraderie makes it so much more likely that people stay with the sport".
You're so much more likely to go on living if you're happy, and making art makes us both happy".
For children, asking a teacher (or a parent) for help or a favor is so much more likely to meet with success if it's done "nicely".
Any civilisation that would be found could have survived for much longer and so is much more likely to still be around, according to the scientists.
This kind of "modular" change is far less likely to wreak havoc on an organism and so is much more likely to be used by evolution.
With so much more information likely to become available in the coming week, a number of major questions will be closer to an answer.
Finally, when investors buy stocks simply because they are going up, they don't know really what they own -- and so are much more likely to panic and sell when stocks start to fall.
In addition, all calls for tenders for EU research will now make it clear that all applications are expected to pay attention to the gender dimension where appropriate, and proposals that don?t do so are "much more likely to get turned down because of it".
