There IS/ ARE a presence of love here as well as strong sexual desire. Что правильно?

presence -ед ч, поэтому IS

No seks preobladaet;)

Правильно is

По этому поводу есть правило:
Sometimes the subject is separated from the verb by such words as along with, as well as, besides, not, etc. These words and phrases are not part of the subject. Ignore them and use a singular verb when the subject is singular.

Examples:
The politician, along with the newsmen, is expected shortly.
Excitement, as well as nervousness, is the cause of her shaking.

Из другого источника:
The phrases "accompanied by; as well as; along with; together with; including" following the subject do not change the number of the subject. They are not taken into consideration when choosing the singular or plural form of the verb to agree with the subject.

Фразы "accompanied by; as well as; along with; together with; including", следующие за подлежащим, не изменяют число подлежащего. Они не принимаются во внимание при выборе формы ед. или мн. числа глагола для согласования с подлежащим.

The actress, accompanied by friends and fans, is traveling in Asia now.

Актриса, сопровождаемая друзьями и почитателями, сейчас путешествует в Азии.

The players, as well as the coach, are down with the flu.

Игроки, так же как и тренер, слегли с гриппом.

The teacher, as well as the students, is willing to participate in the contest.

Учитель, так же как и студенты, желает принять участие в конкурсе.

The text of this lecture, together with additional materials, is offered in Chapter 11.

Текст этой лекции, вместе с дополнительными материалами, предлагается в Главе 11.

A list of foreign words, including foreign proper names, is at the end of the book.

Is

is