didn't want to have to do vs. didn't want to do

[Scooby17]

English Error, Elementary Level

ESL/EFL Test #23 "The bank raid", question 4

Dave believed the plan was to dangerous and at first he said he didn't want to have anything to do with it.

(a) believed
(b) to
(c) anything

English Error, Elementary Level

ESL/EFL Test #23 "The bank raid", answer 4

Dave believed the plan was too dangerous and at first he said he didn't want to have anything to do with it.

Correct entry: too
The error was: (b) to

You have found the error and your entry is correct.
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I have doubt in the sentence structure, what is the difference between
"...he said he didn't want to have anything to do with it. "
"he said he didn't want to do anything with it".

[Mister Micawber]

He didn't want to have anything to do with it. = He wished to disassociate himself from it. / He did not want to work on it.

He didn't want to do anything with it. = He did not want to utilize it.
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Native English teacher at Mister Micawber's

[Scooby17]

Sir, Thankyou for your clear explanation.