Neither is more correct than the other. They're both common words. In fact, they're sometimes different words. For instance, to oblige someone is to do something for them that they want you to do. "She asked me to pick up dinner, and I obliged her by getting some lasagna from a little Italian place down the street."
That's not the same as obligating someone, which means to make them HAVE to do something (or feel that they have to). "Although the statue was meant as a birthday gift, he obviously felt obligated to get me something expensive in return, despite my protestations."
There is a dialect aspect to it as well. What's wrong with "obligate"? In US English nothing is wrong with it. In Australian English everything is wrong with it. Here's how I'd have put it.
"Although the statue was meant as a birthday gift, he obviously felt obliged to get me something expensive in return, despite my protest."
In my dialect "oblige" is fairly common but "obligate" is never heard. The distinction that Uriel mentions is not made in Australian English. We use "oblige" for both meanings.
Suasive is an adjective that, in Linguistics (Grammar), "denotes a class of English verbs, for example, insist, whose meaning includes the notion of persuading and that take a subordinate clause whose verb may either be in the subjunctive or take a modal."
Persuasive is an adjective as well, that means being "good at persuading someone to do or believe something through reasoning or the use of temptation: an informative and persuasive speech." OR "She was very persuasive!"
The difference, then, is that while the former denotes a grammatical class for verbs, the second is adopted the way you already know, with people, situations, etc.
EDIT NOTE: In the OED it says that a speech can be "suasive" but considering the OALD and my dictionary didn't have it, I supposed it was an old use or it fell into disuse. So I checked the Ngram on google and it confirmed what Billare said and what I was thinking.
Best Answer
After the verb like, and other verbs of preference or intention, an infinitive object complement clause requires a For..To-complementizer on its verb
and like optionally allows a For-complementizer to mark the subject of an infinitive complement, if it's different from the subject of like
This is all summed up in the formula below, with optional for in parentheses:
Similarly,
Normally, though, the for of the For...To infinitive complementizer gets deleted.