2 Verbs to Use for the Word govern

By nature, he was more disposed to seek happiness in a very small circle, and would have been just as well satisfied to let another govern, as to rule himself, had there been another suited to such a station.

Why should it be thought more eligible to say, that the verb strive or will seek governs the infinitive verb to enter; than to say, that to is a preposition, showing the relation between strive and enter, or between will seek and enter, and governing the latter verb?

2 Verbs to Use for the Word  govern