I think there's a confusion between two similar constructions.
- Have someone do something
- WILL have someone TO do something
Construction number 1 -
To have someone do something - means: some explicit/implicit agent will delegate to someone the (task of) something (at some indefinite time in the future).
e.g
[I'll/I will] have my people call your people.
[Let's/Let us] have our lawyers negotiate terms.
Construction number 2 -
We will have someone to do something - means: the agent will have the assistance of someone to do something ( on the specific future occasion under disussion )
e.g
In that noisy atmosphere at least Billy will have his emotional support dog to keep him calm.
At least Billy will have his emotional support dog to keep him calm in that noisy atmosphere.
With/without "to"
We will/We'll have our lawyers negotiate terms.
Sense: Delegation
We will/We'll have our lawyers to negotiate terms.
Sense: Assistance
N.B This sentence may be constructed as so without changing the sense:
We will/We'll have our lawyers negotiating terms.
Sense: Assistance
Hope this helps. Apologies if I've over-explained.. I'm working on it!