"The more..., the less.." type of sentence corrections

Your problem is that we don't say "You will less likely take action", we say "You are less likely to take action" or "It is less likely you will take action". So one of those is what your second clause has to invert:

The more you think about it, the less likely you are to take action.

Or

The more you think about it, the less likely it is you will take action.

The snappy reformulation is

Too much analysis leads to paralysis.

which I recall hearing in a TV comedy over twenty years ago.  The Quote Manual: Wisdom and Wit of the Ages lists

Too much analysis results in paralysis.
                    Unknown

which is a poorer rhyme, since the numbers of syllables don’t match.

Wikipedia talks about “Analysis paralysis” or “paralysis by analysis”, saying that the concept goes back as far as Aesop’s fables, cites Hamlet’s indecisiveness as an example, and compares it to Perfect is the enemy of good, which was popularized by Voltaire in French form.